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Finding the Third Proportional to 231,396 and 349,560

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Solution

The third proportional to 231,396 and 349,560 is: 528,065.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,396 : 349,560 = 349,560 : x
  2. Step 2: Convert to fraction form
    231,396/349,560 = 349,560/x
  3. Step 3: Cross multiply
    231,396x = 349,560 × 349,560
  4. Step 4: Simplify right side
    231,396x = 122,192,193,600
  5. Step 5: Solve for x
    x = 122,192,193,600/231,396
  6. Step 6: Final answer
    x = 528,065.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.