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Finding the Third Proportional to 121,398 and 257,862

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Solution

The third proportional to 121,398 and 257,862 is: 547,725.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,398 : 257,862 = 257,862 : x
  2. Step 2: Convert to fraction form
    121,398/257,862 = 257,862/x
  3. Step 3: Cross multiply
    121,398x = 257,862 × 257,862
  4. Step 4: Simplify right side
    121,398x = 66,492,811,044
  5. Step 5: Solve for x
    x = 66,492,811,044/121,398
  6. Step 6: Final answer
    x = 547,725.75

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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.