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Finding the Third Proportional to 231,669 and 349,987

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Solution

The third proportional to 231,669 and 349,987 is: 528,732.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,669 : 349,987 = 349,987 : x
  2. Step 2: Convert to fraction form
    231,669/349,987 = 349,987/x
  3. Step 3: Cross multiply
    231,669x = 349,987 × 349,987
  4. Step 4: Simplify right side
    231,669x = 122,490,900,169
  5. Step 5: Solve for x
    x = 122,490,900,169/231,669
  6. Step 6: Final answer
    x = 528,732.37

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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.