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Finding the Third Proportional to 441,924 and 691,310

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Solution

The third proportional to 441,924 and 691,310 is: 1,081,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,924 : 691,310 = 691,310 : x
  2. Step 2: Convert to fraction form
    441,924/691,310 = 691,310/x
  3. Step 3: Cross multiply
    441,924x = 691,310 × 691,310
  4. Step 4: Simplify right side
    441,924x = 477,909,516,100
  5. Step 5: Solve for x
    x = 477,909,516,100/441,924
  6. Step 6: Final answer
    x = 1,081,429.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.