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Finding the Third Proportional to 406,917 and 851,013

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Solution

The third proportional to 406,917 and 851,013 is: 1,779,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,917 : 851,013 = 851,013 : x
  2. Step 2: Convert to fraction form
    406,917/851,013 = 851,013/x
  3. Step 3: Cross multiply
    406,917x = 851,013 × 851,013
  4. Step 4: Simplify right side
    406,917x = 724,223,126,169
  5. Step 5: Solve for x
    x = 724,223,126,169/406,917
  6. Step 6: Final answer
    x = 1,779,780.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.