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Finding the Third Proportional to 685,877 and 925,212

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Solution

The third proportional to 685,877 and 925,212 is: 1,248,062.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,877 : 925,212 = 925,212 : x
  2. Step 2: Convert to fraction form
    685,877/925,212 = 925,212/x
  3. Step 3: Cross multiply
    685,877x = 925,212 × 925,212
  4. Step 4: Simplify right side
    685,877x = 856,017,244,944
  5. Step 5: Solve for x
    x = 856,017,244,944/685,877
  6. Step 6: Final answer
    x = 1,248,062.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.