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Finding the Third Proportional to 78,020 and 125,642

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Solution

The third proportional to 78,020 and 125,642 is: 202,331.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,020 : 125,642 = 125,642 : x
  2. Step 2: Convert to fraction form
    78,020/125,642 = 125,642/x
  3. Step 3: Cross multiply
    78,020x = 125,642 × 125,642
  4. Step 4: Simplify right side
    78,020x = 15,785,912,164
  5. Step 5: Solve for x
    x = 15,785,912,164/78,020
  6. Step 6: Final answer
    x = 202,331.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.