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Finding the Third Proportional to 328,805 and 717,185

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Solution

The third proportional to 328,805 and 717,185 is: 1,564,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,805 : 717,185 = 717,185 : x
  2. Step 2: Convert to fraction form
    328,805/717,185 = 717,185/x
  3. Step 3: Cross multiply
    328,805x = 717,185 × 717,185
  4. Step 4: Simplify right side
    328,805x = 514,354,324,225
  5. Step 5: Solve for x
    x = 514,354,324,225/328,805
  6. Step 6: Final answer
    x = 1,564,314.18

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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.