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Finding the Third Proportional to 352,119,788,428 and 762,709,481,264

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Solution

The third proportional to 352,119,788,428 and 762,709,481,264 is: 1,652,067,767,639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,119,788,428 : 762,709,481,264 = 762,709,481,264 : x
  2. Step 2: Convert to fraction form
    352,119,788,428/762,709,481,264 = 762,709,481,264/x
  3. Step 3: Cross multiply
    352,119,788,428x = 762,709,481,264 × 762,709,481,264
  4. Step 4: Simplify right side
    352,119,788,428x = 581,725,752,809,999,988,424,704
  5. Step 5: Solve for x
    x = 581,725,752,809,999,988,424,704/352,119,788,428
  6. Step 6: Final answer
    x = 1,652,067,767,639.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.