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Finding the Third Proportional to 138,156,768 and 299,624,103

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Solution

The third proportional to 138,156,768 and 299,624,103 is: 649,802,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,156,768 : 299,624,103 = 299,624,103 : x
  2. Step 2: Convert to fraction form
    138,156,768/299,624,103 = 299,624,103/x
  3. Step 3: Cross multiply
    138,156,768x = 299,624,103 × 299,624,103
  4. Step 4: Simplify right side
    138,156,768x = 89,774,603,098,554,608
  5. Step 5: Solve for x
    x = 89,774,603,098,554,608/138,156,768
  6. Step 6: Final answer
    x = 649,802,426.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.