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Finding the Third Proportional to 163,987 and 353,812

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Solution

The third proportional to 163,987 and 353,812 is: 763,371.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,987 : 353,812 = 353,812 : x
  2. Step 2: Convert to fraction form
    163,987/353,812 = 353,812/x
  3. Step 3: Cross multiply
    163,987x = 353,812 × 353,812
  4. Step 4: Simplify right side
    163,987x = 125,182,931,344
  5. Step 5: Solve for x
    x = 125,182,931,344/163,987
  6. Step 6: Final answer
    x = 763,371.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.