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Finding the Third Proportional to 853,614 and 1,278,207

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Solution

The third proportional to 853,614 and 1,278,207 is: 1,913,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,614 : 1,278,207 = 1,278,207 : x
  2. Step 2: Convert to fraction form
    853,614/1,278,207 = 1,278,207/x
  3. Step 3: Cross multiply
    853,614x = 1,278,207 × 1,278,207
  4. Step 4: Simplify right side
    853,614x = 1,633,813,134,849
  5. Step 5: Solve for x
    x = 1,633,813,134,849/853,614
  6. Step 6: Final answer
    x = 1,913,995.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.