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Finding the Third Proportional to 64,521 and 138,930

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Solution

The third proportional to 64,521 and 138,930 is: 299,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,521 : 138,930 = 138,930 : x
  2. Step 2: Convert to fraction form
    64,521/138,930 = 138,930/x
  3. Step 3: Cross multiply
    64,521x = 138,930 × 138,930
  4. Step 4: Simplify right side
    64,521x = 19,301,544,900
  5. Step 5: Solve for x
    x = 19,301,544,900/64,521
  6. Step 6: Final answer
    x = 299,151.36

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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.