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Finding the Third Proportional to 262,242.56 and 579,620.81

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Solution

The third proportional to 262,242.56 and 579,620.81 is: 1,281,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,242.56 : 579,620.81 = 579,620.81 : x
  2. Step 2: Convert to fraction form
    262,242.56/579,620.81 = 579,620.81/x
  3. Step 3: Cross multiply
    262,242.56x = 579,620.81 × 579,620.81
  4. Step 4: Simplify right side
    262,242.56x = 335,960,286,283.16
  5. Step 5: Solve for x
    x = 335,960,286,283.16/262,242.56
  6. Step 6: Final answer
    x = 1,281,105.11

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.