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Finding the Third Proportional to 406,962 and 881,720

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Solution

The third proportional to 406,962 and 881,720 is: 1,910,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,962 : 881,720 = 881,720 : x
  2. Step 2: Convert to fraction form
    406,962/881,720 = 881,720/x
  3. Step 3: Cross multiply
    406,962x = 881,720 × 881,720
  4. Step 4: Simplify right side
    406,962x = 777,430,158,400
  5. Step 5: Solve for x
    x = 777,430,158,400/406,962
  6. Step 6: Final answer
    x = 1,910,326.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.