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Finding the Third Proportional to 81,776 and 124,120

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Solution

The third proportional to 81,776 and 124,120 is: 188,389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,776 : 124,120 = 124,120 : x
  2. Step 2: Convert to fraction form
    81,776/124,120 = 124,120/x
  3. Step 3: Cross multiply
    81,776x = 124,120 × 124,120
  4. Step 4: Simplify right side
    81,776x = 15,405,774,400
  5. Step 5: Solve for x
    x = 15,405,774,400/81,776
  6. Step 6: Final answer
    x = 188,389.92

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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.