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Finding the Third Proportional to 81,264 and 121,476

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Solution

The third proportional to 81,264 and 121,476 is: 181,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,264 : 121,476 = 121,476 : x
  2. Step 2: Convert to fraction form
    81,264/121,476 = 121,476/x
  3. Step 3: Cross multiply
    81,264x = 121,476 × 121,476
  4. Step 4: Simplify right side
    81,264x = 14,756,418,576
  5. Step 5: Solve for x
    x = 14,756,418,576/81,264
  6. Step 6: Final answer
    x = 181,586.17

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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.