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Finding the Third Proportional to 276,726 and 417,630

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Solution

The third proportional to 276,726 and 417,630 is: 630,279.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,726 : 417,630 = 417,630 : x
  2. Step 2: Convert to fraction form
    276,726/417,630 = 417,630/x
  3. Step 3: Cross multiply
    276,726x = 417,630 × 417,630
  4. Step 4: Simplify right side
    276,726x = 174,414,816,900
  5. Step 5: Solve for x
    x = 174,414,816,900/276,726
  6. Step 6: Final answer
    x = 630,279.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.