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Finding the Third Proportional to 272,304 and 380,880

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Solution

The third proportional to 272,304 and 380,880 is: 532,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,304 : 380,880 = 380,880 : x
  2. Step 2: Convert to fraction form
    272,304/380,880 = 380,880/x
  3. Step 3: Cross multiply
    272,304x = 380,880 × 380,880
  4. Step 4: Simplify right side
    272,304x = 145,069,574,400
  5. Step 5: Solve for x
    x = 145,069,574,400/272,304
  6. Step 6: Final answer
    x = 532,748.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.