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Finding the Third Proportional to 410,109 and 861,636

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Solution

The third proportional to 410,109 and 861,636 is: 1,810,290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,109 : 861,636 = 861,636 : x
  2. Step 2: Convert to fraction form
    410,109/861,636 = 861,636/x
  3. Step 3: Cross multiply
    410,109x = 861,636 × 861,636
  4. Step 4: Simplify right side
    410,109x = 742,416,596,496
  5. Step 5: Solve for x
    x = 742,416,596,496/410,109
  6. Step 6: Final answer
    x = 1,810,290.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.