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Finding the Third Proportional to 312,897 and 727,908

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Solution

The third proportional to 312,897 and 727,908 is: 1,693,368.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,897 : 727,908 = 727,908 : x
  2. Step 2: Convert to fraction form
    312,897/727,908 = 727,908/x
  3. Step 3: Cross multiply
    312,897x = 727,908 × 727,908
  4. Step 4: Simplify right side
    312,897x = 529,850,056,464
  5. Step 5: Solve for x
    x = 529,850,056,464/312,897
  6. Step 6: Final answer
    x = 1,693,368.92

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.