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Finding the Third Proportional to 86,583 and 129,877.50

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Solution

The third proportional to 86,583 and 129,877.50 is: 194,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,583 : 129,877.50 = 129,877.50 : x
  2. Step 2: Convert to fraction form
    86,583/129,877.50 = 129,877.50/x
  3. Step 3: Cross multiply
    86,583x = 129,877.50 × 129,877.50
  4. Step 4: Simplify right side
    86,583x = 16,868,165,006.25
  5. Step 5: Solve for x
    x = 16,868,165,006.25/86,583
  6. Step 6: Final answer
    x = 194,820.75

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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.