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Finding the Third Proportional to 121,392 and 257,850

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Solution

The third proportional to 121,392 and 257,850 is: 547,701.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,392 : 257,850 = 257,850 : x
  2. Step 2: Convert to fraction form
    121,392/257,850 = 257,850/x
  3. Step 3: Cross multiply
    121,392x = 257,850 × 257,850
  4. Step 4: Simplify right side
    121,392x = 66,486,622,500
  5. Step 5: Solve for x
    x = 66,486,622,500/121,392
  6. Step 6: Final answer
    x = 547,701.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.