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Finding the Third Proportional to 129,047 and 269,918

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Solution

The third proportional to 129,047 and 269,918 is: 564,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,047 : 269,918 = 269,918 : x
  2. Step 2: Convert to fraction form
    129,047/269,918 = 269,918/x
  3. Step 3: Cross multiply
    129,047x = 269,918 × 269,918
  4. Step 4: Simplify right side
    129,047x = 72,855,726,724
  5. Step 5: Solve for x
    x = 72,855,726,724/129,047
  6. Step 6: Final answer
    x = 564,567.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.