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Finding the Third Proportional to 156,278 and 240,902

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Solution

The third proportional to 156,278 and 240,902 is: 371,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,278 : 240,902 = 240,902 : x
  2. Step 2: Convert to fraction form
    156,278/240,902 = 240,902/x
  3. Step 3: Cross multiply
    156,278x = 240,902 × 240,902
  4. Step 4: Simplify right side
    156,278x = 58,033,773,604
  5. Step 5: Solve for x
    x = 58,033,773,604/156,278
  6. Step 6: Final answer
    x = 371,349.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.