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Finding the Third Proportional to 329,386.50 and 447,423.75

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Solution

The third proportional to 329,386.50 and 447,423.75 is: 607,760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,386.50 : 447,423.75 = 447,423.75 : x
  2. Step 2: Convert to fraction form
    329,386.50/447,423.75 = 447,423.75/x
  3. Step 3: Cross multiply
    329,386.50x = 447,423.75 × 447,423.75
  4. Step 4: Simplify right side
    329,386.50x = 200,188,012,064.06
  5. Step 5: Solve for x
    x = 200,188,012,064.06/329,386.50
  6. Step 6: Final answer
    x = 607,760.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.