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Finding the Third Proportional to 328,950 and 717,396

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Solution

The third proportional to 328,950 and 717,396 is: 1,564,544.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,950 : 717,396 = 717,396 : x
  2. Step 2: Convert to fraction form
    328,950/717,396 = 717,396/x
  3. Step 3: Cross multiply
    328,950x = 717,396 × 717,396
  4. Step 4: Simplify right side
    328,950x = 514,657,020,816
  5. Step 5: Solve for x
    x = 514,657,020,816/328,950
  6. Step 6: Final answer
    x = 1,564,544.83

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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.