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Finding the Third Proportional to 420,924 and 643,914

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Solution

The third proportional to 420,924 and 643,914 is: 985,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,924 : 643,914 = 643,914 : x
  2. Step 2: Convert to fraction form
    420,924/643,914 = 643,914/x
  3. Step 3: Cross multiply
    420,924x = 643,914 × 643,914
  4. Step 4: Simplify right side
    420,924x = 414,625,239,396
  5. Step 5: Solve for x
    x = 414,625,239,396/420,924
  6. Step 6: Final answer
    x = 985,035.87

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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.