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Finding the Third Proportional to 398,785 and 875,065

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Solution

The third proportional to 398,785 and 875,065 is: 1,920,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,785 : 875,065 = 875,065 : x
  2. Step 2: Convert to fraction form
    398,785/875,065 = 875,065/x
  3. Step 3: Cross multiply
    398,785x = 875,065 × 875,065
  4. Step 4: Simplify right side
    398,785x = 765,738,754,225
  5. Step 5: Solve for x
    x = 765,738,754,225/398,785
  6. Step 6: Final answer
    x = 1,920,179.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.