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Finding the Third Proportional to 83,311.88 and 129,038.06

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Solution

The third proportional to 83,311.88 and 129,038.06 is: 199,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,311.88 : 129,038.06 = 129,038.06 : x
  2. Step 2: Convert to fraction form
    83,311.88/129,038.06 = 129,038.06/x
  3. Step 3: Cross multiply
    83,311.88x = 129,038.06 × 129,038.06
  4. Step 4: Simplify right side
    83,311.88x = 16,650,821,573.75
  5. Step 5: Solve for x
    x = 16,650,821,573.75/83,311.88
  6. Step 6: Final answer
    x = 199,861.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.