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Finding the Third Proportional to 64,522 and 138,931

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Solution

The third proportional to 64,522 and 138,931 is: 299,151.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,522 : 138,931 = 138,931 : x
  2. Step 2: Convert to fraction form
    64,522/138,931 = 138,931/x
  3. Step 3: Cross multiply
    64,522x = 138,931 × 138,931
  4. Step 4: Simplify right side
    64,522x = 19,301,822,761
  5. Step 5: Solve for x
    x = 19,301,822,761/64,522
  6. Step 6: Final answer
    x = 299,151.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.