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Finding the Third Proportional to 360,290 and 538,419

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Solution

The third proportional to 360,290 and 538,419 is: 804,615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,290 : 538,419 = 538,419 : x
  2. Step 2: Convert to fraction form
    360,290/538,419 = 538,419/x
  3. Step 3: Cross multiply
    360,290x = 538,419 × 538,419
  4. Step 4: Simplify right side
    360,290x = 289,895,019,561
  5. Step 5: Solve for x
    x = 289,895,019,561/360,290
  6. Step 6: Final answer
    x = 804,615.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.