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Finding the Third Proportional to 75,420 and 162,432

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Solution

The third proportional to 75,420 and 162,432 is: 349,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,420 : 162,432 = 162,432 : x
  2. Step 2: Convert to fraction form
    75,420/162,432 = 162,432/x
  3. Step 3: Cross multiply
    75,420x = 162,432 × 162,432
  4. Step 4: Simplify right side
    75,420x = 26,384,154,624
  5. Step 5: Solve for x
    x = 26,384,154,624/75,420
  6. Step 6: Final answer
    x = 349,829.68

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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.