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Finding the Third Proportional to 343,359 and 747,723

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Solution

The third proportional to 343,359 and 747,723 is: 1,628,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,359 : 747,723 = 747,723 : x
  2. Step 2: Convert to fraction form
    343,359/747,723 = 747,723/x
  3. Step 3: Cross multiply
    343,359x = 747,723 × 747,723
  4. Step 4: Simplify right side
    343,359x = 559,089,684,729
  5. Step 5: Solve for x
    x = 559,089,684,729/343,359
  6. Step 6: Final answer
    x = 1,628,294.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.