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Finding the Third Proportional to 72,882 and 175,420

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Solution

The third proportional to 72,882 and 175,420 is: 422,219.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,882 : 175,420 = 175,420 : x
  2. Step 2: Convert to fraction form
    72,882/175,420 = 175,420/x
  3. Step 3: Cross multiply
    72,882x = 175,420 × 175,420
  4. Step 4: Simplify right side
    72,882x = 30,772,176,400
  5. Step 5: Solve for x
    x = 30,772,176,400/72,882
  6. Step 6: Final answer
    x = 422,219.15

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.