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Finding the Third Proportional to 426,674 and 660,819

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Solution

The third proportional to 426,674 and 660,819 is: 1,023,455.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,674 : 660,819 = 660,819 : x
  2. Step 2: Convert to fraction form
    426,674/660,819 = 660,819/x
  3. Step 3: Cross multiply
    426,674x = 660,819 × 660,819
  4. Step 4: Simplify right side
    426,674x = 436,681,750,761
  5. Step 5: Solve for x
    x = 436,681,750,761/426,674
  6. Step 6: Final answer
    x = 1,023,455.26

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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.