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Finding the Third Proportional to 392,940 and 591,702

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Solution

The third proportional to 392,940 and 591,702 is: 891,004.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,940 : 591,702 = 591,702 : x
  2. Step 2: Convert to fraction form
    392,940/591,702 = 591,702/x
  3. Step 3: Cross multiply
    392,940x = 591,702 × 591,702
  4. Step 4: Simplify right side
    392,940x = 350,111,256,804
  5. Step 5: Solve for x
    x = 350,111,256,804/392,940
  6. Step 6: Final answer
    x = 891,004.37

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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.