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Finding the Third Proportional to 230,120 and 310,908

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Solution

The third proportional to 230,120 and 310,908 is: 420,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,120 : 310,908 = 310,908 : x
  2. Step 2: Convert to fraction form
    230,120/310,908 = 310,908/x
  3. Step 3: Cross multiply
    230,120x = 310,908 × 310,908
  4. Step 4: Simplify right side
    230,120x = 96,663,784,464
  5. Step 5: Solve for x
    x = 96,663,784,464/230,120
  6. Step 6: Final answer
    x = 420,058.16

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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.