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Finding the Third Proportional to 853,681 and 1,286,151

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Solution

The third proportional to 853,681 and 1,286,151 is: 1,937,707.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,681 : 1,286,151 = 1,286,151 : x
  2. Step 2: Convert to fraction form
    853,681/1,286,151 = 1,286,151/x
  3. Step 3: Cross multiply
    853,681x = 1,286,151 × 1,286,151
  4. Step 4: Simplify right side
    853,681x = 1,654,184,394,801
  5. Step 5: Solve for x
    x = 1,654,184,394,801/853,681
  6. Step 6: Final answer
    x = 1,937,707.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.