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Finding the Third Proportional to 360,288 and 538,416

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Solution

The third proportional to 360,288 and 538,416 is: 804,611.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,288 : 538,416 = 538,416 : x
  2. Step 2: Convert to fraction form
    360,288/538,416 = 538,416/x
  3. Step 3: Cross multiply
    360,288x = 538,416 × 538,416
  4. Step 4: Simplify right side
    360,288x = 289,891,789,056
  5. Step 5: Solve for x
    x = 289,891,789,056/360,288
  6. Step 6: Final answer
    x = 804,611.28

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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.