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Finding the Third Proportional to 81,473 and 121,012

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Solution

The third proportional to 81,473 and 121,012 is: 179,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,473 : 121,012 = 121,012 : x
  2. Step 2: Convert to fraction form
    81,473/121,012 = 121,012/x
  3. Step 3: Cross multiply
    81,473x = 121,012 × 121,012
  4. Step 4: Simplify right side
    81,473x = 14,643,904,144
  5. Step 5: Solve for x
    x = 14,643,904,144/81,473
  6. Step 6: Final answer
    x = 179,739.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.