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Finding the Third Proportional to 230,138 and 310,931

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Solution

The third proportional to 230,138 and 310,931 is: 420,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,138 : 310,931 = 310,931 : x
  2. Step 2: Convert to fraction form
    230,138/310,931 = 310,931/x
  3. Step 3: Cross multiply
    230,138x = 310,931 × 310,931
  4. Step 4: Simplify right side
    230,138x = 96,678,086,761
  5. Step 5: Solve for x
    x = 96,678,086,761/230,138
  6. Step 6: Final answer
    x = 420,087.46

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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.