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Finding the Third Proportional to 406,780 and 847,228

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Solution

The third proportional to 406,780 and 847,228 is: 1,764,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,780 : 847,228 = 847,228 : x
  2. Step 2: Convert to fraction form
    406,780/847,228 = 847,228/x
  3. Step 3: Cross multiply
    406,780x = 847,228 × 847,228
  4. Step 4: Simplify right side
    406,780x = 717,795,283,984
  5. Step 5: Solve for x
    x = 717,795,283,984/406,780
  6. Step 6: Final answer
    x = 1,764,578.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.