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Finding the Third Proportional to 138,484,820 and 299,950,272

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Solution

The third proportional to 138,484,820 and 299,950,272 is: 649,675,290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,484,820 : 299,950,272 = 299,950,272 : x
  2. Step 2: Convert to fraction form
    138,484,820/299,950,272 = 299,950,272/x
  3. Step 3: Cross multiply
    138,484,820x = 299,950,272 × 299,950,272
  4. Step 4: Simplify right side
    138,484,820x = 89,970,165,672,873,984
  5. Step 5: Solve for x
    x = 89,970,165,672,873,984/138,484,820
  6. Step 6: Final answer
    x = 649,675,290.57

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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.