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Finding the Third Proportional to 373,952 and 820,480

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Solution

The third proportional to 373,952 and 820,480 is: 1,800,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,952 : 820,480 = 820,480 : x
  2. Step 2: Convert to fraction form
    373,952/820,480 = 820,480/x
  3. Step 3: Cross multiply
    373,952x = 820,480 × 820,480
  4. Step 4: Simplify right side
    373,952x = 673,187,430,400
  5. Step 5: Solve for x
    x = 673,187,430,400/373,952
  6. Step 6: Final answer
    x = 1,800,197.43

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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.