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Finding the Third Proportional to 153,911 and 231,312

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Solution

The third proportional to 153,911 and 231,312 is: 347,637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,911 : 231,312 = 231,312 : x
  2. Step 2: Convert to fraction form
    153,911/231,312 = 231,312/x
  3. Step 3: Cross multiply
    153,911x = 231,312 × 231,312
  4. Step 4: Simplify right side
    153,911x = 53,505,241,344
  5. Step 5: Solve for x
    x = 53,505,241,344/153,911
  6. Step 6: Final answer
    x = 347,637.54

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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.