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Finding the Third Proportional to 280,788,802 and 626,103,428

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Solution

The third proportional to 280,788,802 and 626,103,428 is: 1,396,086,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,788,802 : 626,103,428 = 626,103,428 : x
  2. Step 2: Convert to fraction form
    280,788,802/626,103,428 = 626,103,428/x
  3. Step 3: Cross multiply
    280,788,802x = 626,103,428 × 626,103,428
  4. Step 4: Simplify right side
    280,788,802x = 392,005,502,553,351,168
  5. Step 5: Solve for x
    x = 392,005,502,553,351,168/280,788,802
  6. Step 6: Final answer
    x = 1,396,086,666.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.