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Finding the Third Proportional to 84,126.75 and 129,307.50

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Solution

The third proportional to 84,126.75 and 129,307.50 is: 198,752.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,126.75 : 129,307.50 = 129,307.50 : x
  2. Step 2: Convert to fraction form
    84,126.75/129,307.50 = 129,307.50/x
  3. Step 3: Cross multiply
    84,126.75x = 129,307.50 × 129,307.50
  4. Step 4: Simplify right side
    84,126.75x = 16,720,429,556.25
  5. Step 5: Solve for x
    x = 16,720,429,556.25/84,126.75
  6. Step 6: Final answer
    x = 198,752.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.