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Finding the Third Proportional to 231,876 and 310,590

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Solution

The third proportional to 231,876 and 310,590 is: 416,024.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,876 : 310,590 = 310,590 : x
  2. Step 2: Convert to fraction form
    231,876/310,590 = 310,590/x
  3. Step 3: Cross multiply
    231,876x = 310,590 × 310,590
  4. Step 4: Simplify right side
    231,876x = 96,466,148,100
  5. Step 5: Solve for x
    x = 96,466,148,100/231,876
  6. Step 6: Final answer
    x = 416,024.72

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.