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Finding the Third Proportional to 120,672 and 187,776

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Solution

The third proportional to 120,672 and 187,776 is: 292,195.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,672 : 187,776 = 187,776 : x
  2. Step 2: Convert to fraction form
    120,672/187,776 = 187,776/x
  3. Step 3: Cross multiply
    120,672x = 187,776 × 187,776
  4. Step 4: Simplify right side
    120,672x = 35,259,826,176
  5. Step 5: Solve for x
    x = 35,259,826,176/120,672
  6. Step 6: Final answer
    x = 292,195.59

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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.