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Finding the Third Proportional to 66,770 and 103,071

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Solution

The third proportional to 66,770 and 103,071 is: 159,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,770 : 103,071 = 103,071 : x
  2. Step 2: Convert to fraction form
    66,770/103,071 = 103,071/x
  3. Step 3: Cross multiply
    66,770x = 103,071 × 103,071
  4. Step 4: Simplify right side
    66,770x = 10,623,631,041
  5. Step 5: Solve for x
    x = 10,623,631,041/66,770
  6. Step 6: Final answer
    x = 159,107.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.