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Finding the Third Proportional to 406,578 and 891,672

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Solution

The third proportional to 406,578 and 891,672 is: 1,955,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,578 : 891,672 = 891,672 : x
  2. Step 2: Convert to fraction form
    406,578/891,672 = 891,672/x
  3. Step 3: Cross multiply
    406,578x = 891,672 × 891,672
  4. Step 4: Simplify right side
    406,578x = 795,078,955,584
  5. Step 5: Solve for x
    x = 795,078,955,584/406,578
  6. Step 6: Final answer
    x = 1,955,538.56

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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.