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Finding the Third Proportional to 406,864 and 891,235

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Solution

The third proportional to 406,864 and 891,235 is: 1,952,248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,864 : 891,235 = 891,235 : x
  2. Step 2: Convert to fraction form
    406,864/891,235 = 891,235/x
  3. Step 3: Cross multiply
    406,864x = 891,235 × 891,235
  4. Step 4: Simplify right side
    406,864x = 794,299,825,225
  5. Step 5: Solve for x
    x = 794,299,825,225/406,864
  6. Step 6: Final answer
    x = 1,952,248.97

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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.