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Finding the Third Proportional to 230,634 and 357,939

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Solution

The third proportional to 230,634 and 357,939 is: 555,513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,634 : 357,939 = 357,939 : x
  2. Step 2: Convert to fraction form
    230,634/357,939 = 357,939/x
  3. Step 3: Cross multiply
    230,634x = 357,939 × 357,939
  4. Step 4: Simplify right side
    230,634x = 128,120,327,721
  5. Step 5: Solve for x
    x = 128,120,327,721/230,634
  6. Step 6: Final answer
    x = 555,513.62

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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.