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Finding the Third Proportional to 406,923 and 913,920

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Solution

The third proportional to 406,923 and 913,920 is: 2,052,599.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,923 : 913,920 = 913,920 : x
  2. Step 2: Convert to fraction form
    406,923/913,920 = 913,920/x
  3. Step 3: Cross multiply
    406,923x = 913,920 × 913,920
  4. Step 4: Simplify right side
    406,923x = 835,249,766,400
  5. Step 5: Solve for x
    x = 835,249,766,400/406,923
  6. Step 6: Final answer
    x = 2,052,599.06

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.