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Finding the Third Proportional to 116,302,406 and 253,729,600

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Solution

The third proportional to 116,302,406 and 253,729,600 is: 553,545,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,302,406 : 253,729,600 = 253,729,600 : x
  2. Step 2: Convert to fraction form
    116,302,406/253,729,600 = 253,729,600/x
  3. Step 3: Cross multiply
    116,302,406x = 253,729,600 × 253,729,600
  4. Step 4: Simplify right side
    116,302,406x = 64,378,709,916,160,000
  5. Step 5: Solve for x
    x = 64,378,709,916,160,000/116,302,406
  6. Step 6: Final answer
    x = 553,545,813.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.