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Finding the Third Proportional to 121,890 and 257,085

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Solution

The third proportional to 121,890 and 257,085 is: 542,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,890 : 257,085 = 257,085 : x
  2. Step 2: Convert to fraction form
    121,890/257,085 = 257,085/x
  3. Step 3: Cross multiply
    121,890x = 257,085 × 257,085
  4. Step 4: Simplify right side
    121,890x = 66,092,697,225
  5. Step 5: Solve for x
    x = 66,092,697,225/121,890
  6. Step 6: Final answer
    x = 542,232.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.