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Finding the Third Proportional to 392,424 and 591,512

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Solution

The third proportional to 392,424 and 591,512 is: 891,603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,424 : 591,512 = 591,512 : x
  2. Step 2: Convert to fraction form
    392,424/591,512 = 591,512/x
  3. Step 3: Cross multiply
    392,424x = 591,512 × 591,512
  4. Step 4: Simplify right side
    392,424x = 349,886,446,144
  5. Step 5: Solve for x
    x = 349,886,446,144/392,424
  6. Step 6: Final answer
    x = 891,603.08

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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.