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Finding the Third Proportional to 104,501 and 156,508

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Solution

The third proportional to 104,501 and 156,508 is: 234,397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,501 : 156,508 = 156,508 : x
  2. Step 2: Convert to fraction form
    104,501/156,508 = 156,508/x
  3. Step 3: Cross multiply
    104,501x = 156,508 × 156,508
  4. Step 4: Simplify right side
    104,501x = 24,494,754,064
  5. Step 5: Solve for x
    x = 24,494,754,064/104,501
  6. Step 6: Final answer
    x = 234,397.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.