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Finding the Third Proportional to 129,249 and 270,270

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Solution

The third proportional to 129,249 and 270,270 is: 565,156.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,249 : 270,270 = 270,270 : x
  2. Step 2: Convert to fraction form
    129,249/270,270 = 270,270/x
  3. Step 3: Cross multiply
    129,249x = 270,270 × 270,270
  4. Step 4: Simplify right side
    129,249x = 73,045,872,900
  5. Step 5: Solve for x
    x = 73,045,872,900/129,249
  6. Step 6: Final answer
    x = 565,156.19

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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.