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Finding the Third Proportional to 252,720 and 561,483

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Solution

The third proportional to 252,720 and 561,483 is: 1,247,480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,720 : 561,483 = 561,483 : x
  2. Step 2: Convert to fraction form
    252,720/561,483 = 561,483/x
  3. Step 3: Cross multiply
    252,720x = 561,483 × 561,483
  4. Step 4: Simplify right side
    252,720x = 315,263,159,289
  5. Step 5: Solve for x
    x = 315,263,159,289/252,720
  6. Step 6: Final answer
    x = 1,247,480.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.