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Finding the Third Proportional to 355,790 and 762,429

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Solution

The third proportional to 355,790 and 762,429 is: 1,633,823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,790 : 762,429 = 762,429 : x
  2. Step 2: Convert to fraction form
    355,790/762,429 = 762,429/x
  3. Step 3: Cross multiply
    355,790x = 762,429 × 762,429
  4. Step 4: Simplify right side
    355,790x = 581,297,980,041
  5. Step 5: Solve for x
    x = 581,297,980,041/355,790
  6. Step 6: Final answer
    x = 1,633,823.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.