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Finding the Third Proportional to 75,321 and 162,309

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Solution

The third proportional to 75,321 and 162,309 is: 349,759.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,321 : 162,309 = 162,309 : x
  2. Step 2: Convert to fraction form
    75,321/162,309 = 162,309/x
  3. Step 3: Cross multiply
    75,321x = 162,309 × 162,309
  4. Step 4: Simplify right side
    75,321x = 26,344,211,481
  5. Step 5: Solve for x
    x = 26,344,211,481/75,321
  6. Step 6: Final answer
    x = 349,759.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.