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Finding the Third Proportional to 328,434.75 and 717,832.13

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Solution

The third proportional to 328,434.75 and 717,832.13 is: 1,568,905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,434.75 : 717,832.13 = 717,832.13 : x
  2. Step 2: Convert to fraction form
    328,434.75/717,832.13 = 717,832.13/x
  3. Step 3: Cross multiply
    328,434.75x = 717,832.13 × 717,832.13
  4. Step 4: Simplify right side
    328,434.75x = 515,282,959,682.02
  5. Step 5: Solve for x
    x = 515,282,959,682.02/328,434.75
  6. Step 6: Final answer
    x = 1,568,905.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.