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Finding the Third Proportional to 71,284.50 and 112,119.75

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Solution

The third proportional to 71,284.50 and 112,119.75 is: 176,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,284.50 : 112,119.75 = 112,119.75 : x
  2. Step 2: Convert to fraction form
    71,284.50/112,119.75 = 112,119.75/x
  3. Step 3: Cross multiply
    71,284.50x = 112,119.75 × 112,119.75
  4. Step 4: Simplify right side
    71,284.50x = 12,570,838,340.06
  5. Step 5: Solve for x
    x = 12,570,838,340.06/71,284.50
  6. Step 6: Final answer
    x = 176,347.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.