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Finding the Third Proportional to 392,974 and 591,749

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Solution

The third proportional to 392,974 and 591,749 is: 891,068.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,974 : 591,749 = 591,749 : x
  2. Step 2: Convert to fraction form
    392,974/591,749 = 591,749/x
  3. Step 3: Cross multiply
    392,974x = 591,749 × 591,749
  4. Step 4: Simplify right side
    392,974x = 350,166,879,001
  5. Step 5: Solve for x
    x = 350,166,879,001/392,974
  6. Step 6: Final answer
    x = 891,068.82

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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.