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Finding the Third Proportional to 328,056 and 717,384

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Solution

The third proportional to 328,056 and 717,384 is: 1,568,755.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,056 : 717,384 = 717,384 : x
  2. Step 2: Convert to fraction form
    328,056/717,384 = 717,384/x
  3. Step 3: Cross multiply
    328,056x = 717,384 × 717,384
  4. Step 4: Simplify right side
    328,056x = 514,639,803,456
  5. Step 5: Solve for x
    x = 514,639,803,456/328,056
  6. Step 6: Final answer
    x = 1,568,755.95

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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.