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Finding the Third Proportional to 153,916 and 231,320

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Solution

The third proportional to 153,916 and 231,320 is: 347,650.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,916 : 231,320 = 231,320 : x
  2. Step 2: Convert to fraction form
    153,916/231,320 = 231,320/x
  3. Step 3: Cross multiply
    153,916x = 231,320 × 231,320
  4. Step 4: Simplify right side
    153,916x = 53,508,942,400
  5. Step 5: Solve for x
    x = 53,508,942,400/153,916
  6. Step 6: Final answer
    x = 347,650.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.