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Finding the Third Proportional to 523,785,375 and 728,281,705.50

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Solution

The third proportional to 523,785,375 and 728,281,705.50 is: 1,012,617,510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,785,375 : 728,281,705.50 = 728,281,705.50 : x
  2. Step 2: Convert to fraction form
    523,785,375/728,281,705.50 = 728,281,705.50/x
  3. Step 3: Cross multiply
    523,785,375x = 728,281,705.50 × 728,281,705.50
  4. Step 4: Simplify right side
    523,785,375x = 530,394,242,565,988,736
  5. Step 5: Solve for x
    x = 530,394,242,565,988,736/523,785,375
  6. Step 6: Final answer
    x = 1,012,617,510.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.