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Finding the Third Proportional to 389,802 and 880,419

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Solution

The third proportional to 389,802 and 880,419 is: 1,988,541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,802 : 880,419 = 880,419 : x
  2. Step 2: Convert to fraction form
    389,802/880,419 = 880,419/x
  3. Step 3: Cross multiply
    389,802x = 880,419 × 880,419
  4. Step 4: Simplify right side
    389,802x = 775,137,615,561
  5. Step 5: Solve for x
    x = 775,137,615,561/389,802
  6. Step 6: Final answer
    x = 1,988,541.92

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.