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Finding the Third Proportional to 431,388 and 591,723

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Solution

The third proportional to 431,388 and 591,723 is: 811,650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,388 : 591,723 = 591,723 : x
  2. Step 2: Convert to fraction form
    431,388/591,723 = 591,723/x
  3. Step 3: Cross multiply
    431,388x = 591,723 × 591,723
  4. Step 4: Simplify right side
    431,388x = 350,136,108,729
  5. Step 5: Solve for x
    x = 350,136,108,729/431,388
  6. Step 6: Final answer
    x = 811,650.09

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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.