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Finding the Third Proportional to 83,106.75 and 112,996.13

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Solution

The third proportional to 83,106.75 and 112,996.13 is: 153,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,106.75 : 112,996.13 = 112,996.13 : x
  2. Step 2: Convert to fraction form
    83,106.75/112,996.13 = 112,996.13/x
  3. Step 3: Cross multiply
    83,106.75x = 112,996.13 × 112,996.13
  4. Step 4: Simplify right side
    83,106.75x = 12,768,124,265.02
  5. Step 5: Solve for x
    x = 12,768,124,265.02/83,106.75
  6. Step 6: Final answer
    x = 153,635.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.