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Finding the Third Proportional to 278,900 and 426,726

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Solution

The third proportional to 278,900 and 426,726 is: 652,904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,900 : 426,726 = 426,726 : x
  2. Step 2: Convert to fraction form
    278,900/426,726 = 426,726/x
  3. Step 3: Cross multiply
    278,900x = 426,726 × 426,726
  4. Step 4: Simplify right side
    278,900x = 182,095,079,076
  5. Step 5: Solve for x
    x = 182,095,079,076/278,900
  6. Step 6: Final answer
    x = 652,904.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.