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Finding the Third Proportional to 120,416 and 187,518

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Solution

The third proportional to 120,416 and 187,518 is: 292,012.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,416 : 187,518 = 187,518 : x
  2. Step 2: Convert to fraction form
    120,416/187,518 = 187,518/x
  3. Step 3: Cross multiply
    120,416x = 187,518 × 187,518
  4. Step 4: Simplify right side
    120,416x = 35,163,000,324
  5. Step 5: Solve for x
    x = 35,163,000,324/120,416
  6. Step 6: Final answer
    x = 292,012.69

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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.