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Finding the Third Proportional to 53,929 and 83,419

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Solution

The third proportional to 53,929 and 83,419 is: 129,035.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,929 : 83,419 = 83,419 : x
  2. Step 2: Convert to fraction form
    53,929/83,419 = 83,419/x
  3. Step 3: Cross multiply
    53,929x = 83,419 × 83,419
  4. Step 4: Simplify right side
    53,929x = 6,958,729,561
  5. Step 5: Solve for x
    x = 6,958,729,561/53,929
  6. Step 6: Final answer
    x = 129,035.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.