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Finding the Third Proportional to 231,358 and 315,187

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Solution

The third proportional to 231,358 and 315,187 is: 429,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,358 : 315,187 = 315,187 : x
  2. Step 2: Convert to fraction form
    231,358/315,187 = 315,187/x
  3. Step 3: Cross multiply
    231,358x = 315,187 × 315,187
  4. Step 4: Simplify right side
    231,358x = 99,342,844,969
  5. Step 5: Solve for x
    x = 99,342,844,969/231,358
  6. Step 6: Final answer
    x = 429,390.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.