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Finding the Third Proportional to 31,588 and 66,452

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Solution

The third proportional to 31,588 and 66,452 is: 139,795.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,588 : 66,452 = 66,452 : x
  2. Step 2: Convert to fraction form
    31,588/66,452 = 66,452/x
  3. Step 3: Cross multiply
    31,588x = 66,452 × 66,452
  4. Step 4: Simplify right side
    31,588x = 4,415,868,304
  5. Step 5: Solve for x
    x = 4,415,868,304/31,588
  6. Step 6: Final answer
    x = 139,795.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.