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Finding the Third Proportional to 83,522 and 129,270

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Solution

The third proportional to 83,522 and 129,270 is: 200,075.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,522 : 129,270 = 129,270 : x
  2. Step 2: Convert to fraction form
    83,522/129,270 = 129,270/x
  3. Step 3: Cross multiply
    83,522x = 129,270 × 129,270
  4. Step 4: Simplify right side
    83,522x = 16,710,732,900
  5. Step 5: Solve for x
    x = 16,710,732,900/83,522
  6. Step 6: Final answer
    x = 200,075.82

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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.