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Finding the Third Proportional to 328,975.88 and 717,446.25

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Solution

The third proportional to 328,975.88 and 717,446.25 is: 1,564,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,975.88 : 717,446.25 = 717,446.25 : x
  2. Step 2: Convert to fraction form
    328,975.88/717,446.25 = 717,446.25/x
  3. Step 3: Cross multiply
    328,975.88x = 717,446.25 × 717,446.25
  4. Step 4: Simplify right side
    328,975.88x = 514,729,121,639.06
  5. Step 5: Solve for x
    x = 514,729,121,639.06/328,975.88
  6. Step 6: Final answer
    x = 1,564,640.94

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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.