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Finding the Third Proportional to 392,928 and 591,688

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Solution

The third proportional to 392,928 and 591,688 is: 890,989.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,928 : 591,688 = 591,688 : x
  2. Step 2: Convert to fraction form
    392,928/591,688 = 591,688/x
  3. Step 3: Cross multiply
    392,928x = 591,688 × 591,688
  4. Step 4: Simplify right side
    392,928x = 350,094,689,344
  5. Step 5: Solve for x
    x = 350,094,689,344/392,928
  6. Step 6: Final answer
    x = 890,989.42

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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.