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Finding the Third Proportional to 408,498 and 599,013

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Solution

The third proportional to 408,498 and 599,013 is: 878,380.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,498 : 599,013 = 599,013 : x
  2. Step 2: Convert to fraction form
    408,498/599,013 = 599,013/x
  3. Step 3: Cross multiply
    408,498x = 599,013 × 599,013
  4. Step 4: Simplify right side
    408,498x = 358,816,574,169
  5. Step 5: Solve for x
    x = 358,816,574,169/408,498
  6. Step 6: Final answer
    x = 878,380.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.