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Finding the Third Proportional to 57,645 and 86,468

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Solution

The third proportional to 57,645 and 86,468 is: 129,702.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,645 : 86,468 = 86,468 : x
  2. Step 2: Convert to fraction form
    57,645/86,468 = 86,468/x
  3. Step 3: Cross multiply
    57,645x = 86,468 × 86,468
  4. Step 4: Simplify right side
    57,645x = 7,476,715,024
  5. Step 5: Solve for x
    x = 7,476,715,024/57,645
  6. Step 6: Final answer
    x = 129,702.75

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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.