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Finding the Third Proportional to 66,207 and 151,261

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Solution

The third proportional to 66,207 and 151,261 is: 345,581.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,207 : 151,261 = 151,261 : x
  2. Step 2: Convert to fraction form
    66,207/151,261 = 151,261/x
  3. Step 3: Cross multiply
    66,207x = 151,261 × 151,261
  4. Step 4: Simplify right side
    66,207x = 22,879,890,121
  5. Step 5: Solve for x
    x = 22,879,890,121/66,207
  6. Step 6: Final answer
    x = 345,581.13

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.