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Finding the Third Proportional to 269,790.75 and 561,709.69

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Solution

The third proportional to 269,790.75 and 561,709.69 is: 1,169,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,790.75 : 561,709.69 = 561,709.69 : x
  2. Step 2: Convert to fraction form
    269,790.75/561,709.69 = 561,709.69/x
  3. Step 3: Cross multiply
    269,790.75x = 561,709.69 × 561,709.69
  4. Step 4: Simplify right side
    269,790.75x = 315,517,773,031.35
  5. Step 5: Solve for x
    x = 315,517,773,031.35/269,790.75
  6. Step 6: Final answer
    x = 1,169,490.70

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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.