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Finding the Third Proportional to 280,726,878 and 626,001,963

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Solution

The third proportional to 280,726,878 and 626,001,963 is: 1,395,942,064.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,726,878 : 626,001,963 = 626,001,963 : x
  2. Step 2: Convert to fraction form
    280,726,878/626,001,963 = 626,001,963/x
  3. Step 3: Cross multiply
    280,726,878x = 626,001,963 × 626,001,963
  4. Step 4: Simplify right side
    280,726,878x = 391,878,457,679,853,376
  5. Step 5: Solve for x
    x = 391,878,457,679,853,376/280,726,878
  6. Step 6: Final answer
    x = 1,395,942,064.66

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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.