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Finding the Third Proportional to 262,581 and 289,647

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Solution

The third proportional to 262,581 and 289,647 is: 319,502.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,581 : 289,647 = 289,647 : x
  2. Step 2: Convert to fraction form
    262,581/289,647 = 289,647/x
  3. Step 3: Cross multiply
    262,581x = 289,647 × 289,647
  4. Step 4: Simplify right side
    262,581x = 83,895,384,609
  5. Step 5: Solve for x
    x = 83,895,384,609/262,581
  6. Step 6: Final answer
    x = 319,502.88

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.