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Finding the Third Proportional to 307,396,115 and 658,724,685.50

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Solution

The third proportional to 307,396,115 and 658,724,685.50 is: 1,411,593,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,396,115 : 658,724,685.50 = 658,724,685.50 : x
  2. Step 2: Convert to fraction form
    307,396,115/658,724,685.50 = 658,724,685.50/x
  3. Step 3: Cross multiply
    307,396,115x = 658,724,685.50 × 658,724,685.50
  4. Step 4: Simplify right side
    307,396,115x = 433,918,211,287,073,920
  5. Step 5: Solve for x
    x = 433,918,211,287,073,920/307,396,115
  6. Step 6: Final answer
    x = 1,411,593,023.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.