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Finding the Third Proportional to 81,420 and 121,516

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Solution

The third proportional to 81,420 and 121,516 is: 181,357.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,420 : 121,516 = 121,516 : x
  2. Step 2: Convert to fraction form
    81,420/121,516 = 121,516/x
  3. Step 3: Cross multiply
    81,420x = 121,516 × 121,516
  4. Step 4: Simplify right side
    81,420x = 14,766,138,256
  5. Step 5: Solve for x
    x = 14,766,138,256/81,420
  6. Step 6: Final answer
    x = 181,357.63

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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.