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Finding the Third Proportional to 52,630 and 81,473

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Solution

The third proportional to 52,630 and 81,473 is: 126,122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,630 : 81,473 = 81,473 : x
  2. Step 2: Convert to fraction form
    52,630/81,473 = 81,473/x
  3. Step 3: Cross multiply
    52,630x = 81,473 × 81,473
  4. Step 4: Simplify right side
    52,630x = 6,637,849,729
  5. Step 5: Solve for x
    x = 6,637,849,729/52,630
  6. Step 6: Final answer
    x = 126,122.93

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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.