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Finding the Third Proportional to 129,270 and 269,610

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Solution

The third proportional to 129,270 and 269,610 is: 562,307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,270 : 269,610 = 269,610 : x
  2. Step 2: Convert to fraction form
    129,270/269,610 = 269,610/x
  3. Step 3: Cross multiply
    129,270x = 269,610 × 269,610
  4. Step 4: Simplify right side
    129,270x = 72,689,552,100
  5. Step 5: Solve for x
    x = 72,689,552,100/129,270
  6. Step 6: Final answer
    x = 562,307.98

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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.