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Finding the Third Proportional to 121,056 and 187,880

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Solution

The third proportional to 121,056 and 187,880 is: 291,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,056 : 187,880 = 187,880 : x
  2. Step 2: Convert to fraction form
    121,056/187,880 = 187,880/x
  3. Step 3: Cross multiply
    121,056x = 187,880 × 187,880
  4. Step 4: Simplify right side
    121,056x = 35,298,894,400
  5. Step 5: Solve for x
    x = 35,298,894,400/121,056
  6. Step 6: Final answer
    x = 291,591.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.