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Finding the Third Proportional to 230,156 and 310,958

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Solution

The third proportional to 230,156 and 310,958 is: 420,127.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,156 : 310,958 = 310,958 : x
  2. Step 2: Convert to fraction form
    230,156/310,958 = 310,958/x
  3. Step 3: Cross multiply
    230,156x = 310,958 × 310,958
  4. Step 4: Simplify right side
    230,156x = 96,694,877,764
  5. Step 5: Solve for x
    x = 96,694,877,764/230,156
  6. Step 6: Final answer
    x = 420,127.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.