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Finding the Third Proportional to 406,406 and 891,328

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Solution

The third proportional to 406,406 and 891,328 is: 1,954,856.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,406 : 891,328 = 891,328 : x
  2. Step 2: Convert to fraction form
    406,406/891,328 = 891,328/x
  3. Step 3: Cross multiply
    406,406x = 891,328 × 891,328
  4. Step 4: Simplify right side
    406,406x = 794,465,603,584
  5. Step 5: Solve for x
    x = 794,465,603,584/406,406
  6. Step 6: Final answer
    x = 1,954,856.97

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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.