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Finding the Third Proportional to 138,156,778.50 and 299,624,124

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Solution

The third proportional to 138,156,778.50 and 299,624,124 is: 649,802,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,156,778.50 : 299,624,124 = 299,624,124 : x
  2. Step 2: Convert to fraction form
    138,156,778.50/299,624,124 = 299,624,124/x
  3. Step 3: Cross multiply
    138,156,778.50x = 299,624,124 × 299,624,124
  4. Step 4: Simplify right side
    138,156,778.50x = 89,774,615,682,767,376
  5. Step 5: Solve for x
    x = 89,774,615,682,767,376/138,156,778.50
  6. Step 6: Final answer
    x = 649,802,468.31

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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.