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Finding the Third Proportional to 138,484,496 and 299,949,664

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Solution

The third proportional to 138,484,496 and 299,949,664 is: 649,674,176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,484,496 : 299,949,664 = 299,949,664 : x
  2. Step 2: Convert to fraction form
    138,484,496/299,949,664 = 299,949,664/x
  3. Step 3: Cross multiply
    138,484,496x = 299,949,664 × 299,949,664
  4. Step 4: Simplify right side
    138,484,496x = 89,969,800,933,712,896
  5. Step 5: Solve for x
    x = 89,969,800,933,712,896/138,484,496
  6. Step 6: Final answer
    x = 649,674,176.77

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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.