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Finding the Third Proportional to 392,070 and 576,621

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Solution

The third proportional to 392,070 and 576,621 is: 848,041.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,070 : 576,621 = 576,621 : x
  2. Step 2: Convert to fraction form
    392,070/576,621 = 576,621/x
  3. Step 3: Cross multiply
    392,070x = 576,621 × 576,621
  4. Step 4: Simplify right side
    392,070x = 332,491,777,641
  5. Step 5: Solve for x
    x = 332,491,777,641/392,070
  6. Step 6: Final answer
    x = 848,041.87

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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.