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Finding the Third Proportional to 175,128 and 391,080

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Solution

The third proportional to 175,128 and 391,080 is: 873,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,128 : 391,080 = 391,080 : x
  2. Step 2: Convert to fraction form
    175,128/391,080 = 391,080/x
  3. Step 3: Cross multiply
    175,128x = 391,080 × 391,080
  4. Step 4: Simplify right side
    175,128x = 152,943,566,400
  5. Step 5: Solve for x
    x = 152,943,566,400/175,128
  6. Step 6: Final answer
    x = 873,324.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.