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Finding the Third Proportional to 119,418 and 257,484

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Solution

The third proportional to 119,418 and 257,484 is: 555,176.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,418 : 257,484 = 257,484 : x
  2. Step 2: Convert to fraction form
    119,418/257,484 = 257,484/x
  3. Step 3: Cross multiply
    119,418x = 257,484 × 257,484
  4. Step 4: Simplify right side
    119,418x = 66,298,010,256
  5. Step 5: Solve for x
    x = 66,298,010,256/119,418
  6. Step 6: Final answer
    x = 555,176.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.