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Finding the Third Proportional to 89,577 and 129,490

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Solution

The third proportional to 89,577 and 129,490 is: 187,187.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,577 : 129,490 = 129,490 : x
  2. Step 2: Convert to fraction form
    89,577/129,490 = 129,490/x
  3. Step 3: Cross multiply
    89,577x = 129,490 × 129,490
  4. Step 4: Simplify right side
    89,577x = 16,767,660,100
  5. Step 5: Solve for x
    x = 16,767,660,100/89,577
  6. Step 6: Final answer
    x = 187,187.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.