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Finding the Third Proportional to 39,805 and 62,129

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Solution

The third proportional to 39,805 and 62,129 is: 96,973.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,805 : 62,129 = 62,129 : x
  2. Step 2: Convert to fraction form
    39,805/62,129 = 62,129/x
  3. Step 3: Cross multiply
    39,805x = 62,129 × 62,129
  4. Step 4: Simplify right side
    39,805x = 3,860,012,641
  5. Step 5: Solve for x
    x = 3,860,012,641/39,805
  6. Step 6: Final answer
    x = 96,973.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.