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Finding the Third Proportional to 66,230 and 141,930

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Solution

The third proportional to 66,230 and 141,930 is: 304,154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,230 : 141,930 = 141,930 : x
  2. Step 2: Convert to fraction form
    66,230/141,930 = 141,930/x
  3. Step 3: Cross multiply
    66,230x = 141,930 × 141,930
  4. Step 4: Simplify right side
    66,230x = 20,144,124,900
  5. Step 5: Solve for x
    x = 20,144,124,900/66,230
  6. Step 6: Final answer
    x = 304,154.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.