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Finding the Third Proportional to 280,788,800 and 626,103,424

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Solution

The third proportional to 280,788,800 and 626,103,424 is: 1,396,086,658.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,788,800 : 626,103,424 = 626,103,424 : x
  2. Step 2: Convert to fraction form
    280,788,800/626,103,424 = 626,103,424/x
  3. Step 3: Cross multiply
    280,788,800x = 626,103,424 × 626,103,424
  4. Step 4: Simplify right side
    280,788,800x = 392,005,497,544,523,776
  5. Step 5: Solve for x
    x = 392,005,497,544,523,776/280,788,800
  6. Step 6: Final answer
    x = 1,396,086,658.53

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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.