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Finding the Third Proportional to 431,392 and 591,729

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Solution

The third proportional to 431,392 and 591,729 is: 811,659.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,392 : 591,729 = 591,729 : x
  2. Step 2: Convert to fraction form
    431,392/591,729 = 591,729/x
  3. Step 3: Cross multiply
    431,392x = 591,729 × 591,729
  4. Step 4: Simplify right side
    431,392x = 350,143,209,441
  5. Step 5: Solve for x
    x = 350,143,209,441/431,392
  6. Step 6: Final answer
    x = 811,659.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.