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Finding the Third Proportional to 40,070 and 85,699

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Solution

The third proportional to 40,070 and 85,699 is: 183,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,070 : 85,699 = 85,699 : x
  2. Step 2: Convert to fraction form
    40,070/85,699 = 85,699/x
  3. Step 3: Cross multiply
    40,070x = 85,699 × 85,699
  4. Step 4: Simplify right side
    40,070x = 7,344,318,601
  5. Step 5: Solve for x
    x = 7,344,318,601/40,070
  6. Step 6: Final answer
    x = 183,287.21

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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.