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Finding the Third Proportional to 240,180 and 522,642

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Solution

The third proportional to 240,180 and 522,642 is: 1,137,291.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,180 : 522,642 = 522,642 : x
  2. Step 2: Convert to fraction form
    240,180/522,642 = 522,642/x
  3. Step 3: Cross multiply
    240,180x = 522,642 × 522,642
  4. Step 4: Simplify right side
    240,180x = 273,154,660,164
  5. Step 5: Solve for x
    x = 273,154,660,164/240,180
  6. Step 6: Final answer
    x = 1,137,291.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.