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Finding the Third Proportional to 410,564 and 853,780

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Solution

The third proportional to 410,564 and 853,780 is: 1,775,460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,564 : 853,780 = 853,780 : x
  2. Step 2: Convert to fraction form
    410,564/853,780 = 853,780/x
  3. Step 3: Cross multiply
    410,564x = 853,780 × 853,780
  4. Step 4: Simplify right side
    410,564x = 728,940,288,400
  5. Step 5: Solve for x
    x = 728,940,288,400/410,564
  6. Step 6: Final answer
    x = 1,775,460.80

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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.