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Finding the Third Proportional to 360,640 and 560,612

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Solution

The third proportional to 360,640 and 560,612 is: 871,466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,640 : 560,612 = 560,612 : x
  2. Step 2: Convert to fraction form
    360,640/560,612 = 560,612/x
  3. Step 3: Cross multiply
    360,640x = 560,612 × 560,612
  4. Step 4: Simplify right side
    360,640x = 314,285,814,544
  5. Step 5: Solve for x
    x = 314,285,814,544/360,640
  6. Step 6: Final answer
    x = 871,466.88

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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.