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Finding the Third Proportional to 175,440 and 385,872

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Solution

The third proportional to 175,440 and 385,872 is: 848,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,440 : 385,872 = 385,872 : x
  2. Step 2: Convert to fraction form
    175,440/385,872 = 385,872/x
  3. Step 3: Cross multiply
    175,440x = 385,872 × 385,872
  4. Step 4: Simplify right side
    175,440x = 148,897,200,384
  5. Step 5: Solve for x
    x = 148,897,200,384/175,440
  6. Step 6: Final answer
    x = 848,707.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.