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Finding the Third Proportional to 81,810 and 124,335

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Solution

The third proportional to 81,810 and 124,335 is: 188,964.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,810 : 124,335 = 124,335 : x
  2. Step 2: Convert to fraction form
    81,810/124,335 = 124,335/x
  3. Step 3: Cross multiply
    81,810x = 124,335 × 124,335
  4. Step 4: Simplify right side
    81,810x = 15,459,192,225
  5. Step 5: Solve for x
    x = 15,459,192,225/81,810
  6. Step 6: Final answer
    x = 188,964.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.