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Finding the Third Proportional to 120,409 and 187,507

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Solution

The third proportional to 120,409 and 187,507 is: 291,995.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,409 : 187,507 = 187,507 : x
  2. Step 2: Convert to fraction form
    120,409/187,507 = 187,507/x
  3. Step 3: Cross multiply
    120,409x = 187,507 × 187,507
  4. Step 4: Simplify right side
    120,409x = 35,158,875,049
  5. Step 5: Solve for x
    x = 35,158,875,049/120,409
  6. Step 6: Final answer
    x = 291,995.41

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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.