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Finding the Third Proportional to 118,375 and 253,403

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Solution

The third proportional to 118,375 and 253,403 is: 542,454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,375 : 253,403 = 253,403 : x
  2. Step 2: Convert to fraction form
    118,375/253,403 = 253,403/x
  3. Step 3: Cross multiply
    118,375x = 253,403 × 253,403
  4. Step 4: Simplify right side
    118,375x = 64,213,080,409
  5. Step 5: Solve for x
    x = 64,213,080,409/118,375
  6. Step 6: Final answer
    x = 542,454.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.