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Finding the Third Proportional to 327,426 and 717,312

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Solution

The third proportional to 327,426 and 717,312 is: 1,571,458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,426 : 717,312 = 717,312 : x
  2. Step 2: Convert to fraction form
    327,426/717,312 = 717,312/x
  3. Step 3: Cross multiply
    327,426x = 717,312 × 717,312
  4. Step 4: Simplify right side
    327,426x = 514,536,505,344
  5. Step 5: Solve for x
    x = 514,536,505,344/327,426
  6. Step 6: Final answer
    x = 1,571,458.91

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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.