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Finding the Third Proportional to 76,131 and 102,699

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Solution

The third proportional to 76,131 and 102,699 is: 138,538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,131 : 102,699 = 102,699 : x
  2. Step 2: Convert to fraction form
    76,131/102,699 = 102,699/x
  3. Step 3: Cross multiply
    76,131x = 102,699 × 102,699
  4. Step 4: Simplify right side
    76,131x = 10,547,084,601
  5. Step 5: Solve for x
    x = 10,547,084,601/76,131
  6. Step 6: Final answer
    x = 138,538.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.