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Finding the Third Proportional to 120,374 and 187,263

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Solution

The third proportional to 120,374 and 187,263 is: 291,320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,374 : 187,263 = 187,263 : x
  2. Step 2: Convert to fraction form
    120,374/187,263 = 187,263/x
  3. Step 3: Cross multiply
    120,374x = 187,263 × 187,263
  4. Step 4: Simplify right side
    120,374x = 35,067,431,169
  5. Step 5: Solve for x
    x = 35,067,431,169/120,374
  6. Step 6: Final answer
    x = 291,320.64

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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.