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Finding the Third Proportional to 613,418 and 931,161

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Solution

The third proportional to 613,418 and 931,161 is: 1,413,490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,418 : 931,161 = 931,161 : x
  2. Step 2: Convert to fraction form
    613,418/931,161 = 931,161/x
  3. Step 3: Cross multiply
    613,418x = 931,161 × 931,161
  4. Step 4: Simplify right side
    613,418x = 867,060,807,921
  5. Step 5: Solve for x
    x = 867,060,807,921/613,418
  6. Step 6: Final answer
    x = 1,413,490.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.