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Finding the Third Proportional to 100,920 and 156,263

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Solution

The third proportional to 100,920 and 156,263 is: 241,955.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,920 : 156,263 = 156,263 : x
  2. Step 2: Convert to fraction form
    100,920/156,263 = 156,263/x
  3. Step 3: Cross multiply
    100,920x = 156,263 × 156,263
  4. Step 4: Simplify right side
    100,920x = 24,418,125,169
  5. Step 5: Solve for x
    x = 24,418,125,169/100,920
  6. Step 6: Final answer
    x = 241,955.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.