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Finding the Third Proportional to 406,404 and 891,324

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Solution

The third proportional to 406,404 and 891,324 is: 1,954,849.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,404 : 891,324 = 891,324 : x
  2. Step 2: Convert to fraction form
    406,404/891,324 = 891,324/x
  3. Step 3: Cross multiply
    406,404x = 891,324 × 891,324
  4. Step 4: Simplify right side
    406,404x = 794,458,472,976
  5. Step 5: Solve for x
    x = 794,458,472,976/406,404
  6. Step 6: Final answer
    x = 1,954,849.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.