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Finding the Third Proportional to 138,484,494 and 299,949,660

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Solution

The third proportional to 138,484,494 and 299,949,660 is: 649,674,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,484,494 : 299,949,660 = 299,949,660 : x
  2. Step 2: Convert to fraction form
    138,484,494/299,949,660 = 299,949,660/x
  3. Step 3: Cross multiply
    138,484,494x = 299,949,660 × 299,949,660
  4. Step 4: Simplify right side
    138,484,494x = 89,969,798,534,115,600
  5. Step 5: Solve for x
    x = 89,969,798,534,115,600/138,484,494
  6. Step 6: Final answer
    x = 649,674,168.82

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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.