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Finding the Third Proportional to 90,454 and 132,971

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Solution

The third proportional to 90,454 and 132,971 is: 195,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,454 : 132,971 = 132,971 : x
  2. Step 2: Convert to fraction form
    90,454/132,971 = 132,971/x
  3. Step 3: Cross multiply
    90,454x = 132,971 × 132,971
  4. Step 4: Simplify right side
    90,454x = 17,681,286,841
  5. Step 5: Solve for x
    x = 17,681,286,841/90,454
  6. Step 6: Final answer
    x = 195,472.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.