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Finding the Third Proportional to 81,470 and 121,701

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Solution

The third proportional to 81,470 and 121,701 is: 181,798.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,470 : 121,701 = 121,701 : x
  2. Step 2: Convert to fraction form
    81,470/121,701 = 121,701/x
  3. Step 3: Cross multiply
    81,470x = 121,701 × 121,701
  4. Step 4: Simplify right side
    81,470x = 14,811,133,401
  5. Step 5: Solve for x
    x = 14,811,133,401/81,470
  6. Step 6: Final answer
    x = 181,798.62

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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.