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Finding the Third Proportional to 272,478 and 408,804

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Solution

The third proportional to 272,478 and 408,804 is: 613,336.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,478 : 408,804 = 408,804 : x
  2. Step 2: Convert to fraction form
    272,478/408,804 = 408,804/x
  3. Step 3: Cross multiply
    272,478x = 408,804 × 408,804
  4. Step 4: Simplify right side
    272,478x = 167,120,710,416
  5. Step 5: Solve for x
    x = 167,120,710,416/272,478
  6. Step 6: Final answer
    x = 613,336.53

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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.