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Finding the Third Proportional to 360,642 and 560,615

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Solution

The third proportional to 360,642 and 560,615 is: 871,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,642 : 560,615 = 560,615 : x
  2. Step 2: Convert to fraction form
    360,642/560,615 = 560,615/x
  3. Step 3: Cross multiply
    360,642x = 560,615 × 560,615
  4. Step 4: Simplify right side
    360,642x = 314,289,178,225
  5. Step 5: Solve for x
    x = 314,289,178,225/360,642
  6. Step 6: Final answer
    x = 871,471.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.