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Finding the Third Proportional to 230,418 and 357,615

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Solution

The third proportional to 230,418 and 357,615 is: 555,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,418 : 357,615 = 357,615 : x
  2. Step 2: Convert to fraction form
    230,418/357,615 = 357,615/x
  3. Step 3: Cross multiply
    230,418x = 357,615 × 357,615
  4. Step 4: Simplify right side
    230,418x = 127,888,488,225
  5. Step 5: Solve for x
    x = 127,888,488,225/230,418
  6. Step 6: Final answer
    x = 555,028.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.