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Finding the Third Proportional to 66,633 and 141,897

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Solution

The third proportional to 66,633 and 141,897 is: 302,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,633 : 141,897 = 141,897 : x
  2. Step 2: Convert to fraction form
    66,633/141,897 = 141,897/x
  3. Step 3: Cross multiply
    66,633x = 141,897 × 141,897
  4. Step 4: Simplify right side
    66,633x = 20,134,758,609
  5. Step 5: Solve for x
    x = 20,134,758,609/66,633
  6. Step 6: Final answer
    x = 302,173.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.