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Finding the Third Proportional to 57,897 and 86,603

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Solution

The third proportional to 57,897 and 86,603 is: 129,541.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,897 : 86,603 = 86,603 : x
  2. Step 2: Convert to fraction form
    57,897/86,603 = 86,603/x
  3. Step 3: Cross multiply
    57,897x = 86,603 × 86,603
  4. Step 4: Simplify right side
    57,897x = 7,500,079,609
  5. Step 5: Solve for x
    x = 7,500,079,609/57,897
  6. Step 6: Final answer
    x = 129,541.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.