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Finding the Third Proportional to 138,229,344 and 296,972,596.50

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Solution

The third proportional to 138,229,344 and 296,972,596.50 is: 638,017,374.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,229,344 : 296,972,596.50 = 296,972,596.50 : x
  2. Step 2: Convert to fraction form
    138,229,344/296,972,596.50 = 296,972,596.50/x
  3. Step 3: Cross multiply
    138,229,344x = 296,972,596.50 × 296,972,596.50
  4. Step 4: Simplify right side
    138,229,344x = 88,192,723,071,951,808
  5. Step 5: Solve for x
    x = 88,192,723,071,951,808/138,229,344
  6. Step 6: Final answer
    x = 638,017,374.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.