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Finding the Third Proportional to 343,127.50 and 520,523.50

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Solution

The third proportional to 343,127.50 and 520,523.50 is: 789,632.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,127.50 : 520,523.50 = 520,523.50 : x
  2. Step 2: Convert to fraction form
    343,127.50/520,523.50 = 520,523.50/x
  3. Step 3: Cross multiply
    343,127.50x = 520,523.50 × 520,523.50
  4. Step 4: Simplify right side
    343,127.50x = 270,944,714,052.25
  5. Step 5: Solve for x
    x = 270,944,714,052.25/343,127.50
  6. Step 6: Final answer
    x = 789,632.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.