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Finding the Third Proportional to 52,710 and 81,528

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Solution

The third proportional to 52,710 and 81,528 is: 126,101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,710 : 81,528 = 81,528 : x
  2. Step 2: Convert to fraction form
    52,710/81,528 = 81,528/x
  3. Step 3: Cross multiply
    52,710x = 81,528 × 81,528
  4. Step 4: Simplify right side
    52,710x = 6,646,814,784
  5. Step 5: Solve for x
    x = 6,646,814,784/52,710
  6. Step 6: Final answer
    x = 126,101.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.