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Finding the Third Proportional to 259,720 and 540,224

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Solution

The third proportional to 259,720 and 540,224 is: 1,123,679.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,720 : 540,224 = 540,224 : x
  2. Step 2: Convert to fraction form
    259,720/540,224 = 540,224/x
  3. Step 3: Cross multiply
    259,720x = 540,224 × 540,224
  4. Step 4: Simplify right side
    259,720x = 291,841,970,176
  5. Step 5: Solve for x
    x = 291,841,970,176/259,720
  6. Step 6: Final answer
    x = 1,123,679.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.