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Finding the Third Proportional to 138,269.25 and 292,738.50

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Solution

The third proportional to 138,269.25 and 292,738.50 is: 619,775.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,269.25 : 292,738.50 = 292,738.50 : x
  2. Step 2: Convert to fraction form
    138,269.25/292,738.50 = 292,738.50/x
  3. Step 3: Cross multiply
    138,269.25x = 292,738.50 × 292,738.50
  4. Step 4: Simplify right side
    138,269.25x = 85,695,829,382.25
  5. Step 5: Solve for x
    x = 85,695,829,382.25/138,269.25
  6. Step 6: Final answer
    x = 619,775.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.