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Finding the Third Proportional to 272,470 and 408,796

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Solution

The third proportional to 272,470 and 408,796 is: 613,330.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,470 : 408,796 = 408,796 : x
  2. Step 2: Convert to fraction form
    272,470/408,796 = 408,796/x
  3. Step 3: Cross multiply
    272,470x = 408,796 × 408,796
  4. Step 4: Simplify right side
    272,470x = 167,114,169,616
  5. Step 5: Solve for x
    x = 167,114,169,616/272,470
  6. Step 6: Final answer
    x = 613,330.53

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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.