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Finding the Third Proportional to 272,160 and 408,510

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Solution

The third proportional to 272,160 and 408,510 is: 613,170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,160 : 408,510 = 408,510 : x
  2. Step 2: Convert to fraction form
    272,160/408,510 = 408,510/x
  3. Step 3: Cross multiply
    272,160x = 408,510 × 408,510
  4. Step 4: Simplify right side
    272,160x = 166,880,420,100
  5. Step 5: Solve for x
    x = 166,880,420,100/272,160
  6. Step 6: Final answer
    x = 613,170.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.