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Finding the Third Proportional to 426,680 and 660,828

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Solution

The third proportional to 426,680 and 660,828 is: 1,023,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,680 : 660,828 = 660,828 : x
  2. Step 2: Convert to fraction form
    426,680/660,828 = 660,828/x
  3. Step 3: Cross multiply
    426,680x = 660,828 × 660,828
  4. Step 4: Simplify right side
    426,680x = 436,693,645,584
  5. Step 5: Solve for x
    x = 436,693,645,584/426,680
  6. Step 6: Final answer
    x = 1,023,468.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.