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Finding the Third Proportional to 120,407 and 187,504

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Solution

The third proportional to 120,407 and 187,504 is: 291,990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,407 : 187,504 = 187,504 : x
  2. Step 2: Convert to fraction form
    120,407/187,504 = 187,504/x
  3. Step 3: Cross multiply
    120,407x = 187,504 × 187,504
  4. Step 4: Simplify right side
    120,407x = 35,157,750,016
  5. Step 5: Solve for x
    x = 35,157,750,016/120,407
  6. Step 6: Final answer
    x = 291,990.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.