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Finding the Third Proportional to 78,335 and 126,102

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Solution

The third proportional to 78,335 and 126,102 is: 202,996.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,335 : 126,102 = 126,102 : x
  2. Step 2: Convert to fraction form
    78,335/126,102 = 126,102/x
  3. Step 3: Cross multiply
    78,335x = 126,102 × 126,102
  4. Step 4: Simplify right side
    78,335x = 15,901,714,404
  5. Step 5: Solve for x
    x = 15,901,714,404/78,335
  6. Step 6: Final answer
    x = 202,996.29

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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.