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Finding the Third Proportional to 39,781.13 and 85,019.63

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Solution

The third proportional to 39,781.13 and 85,019.63 is: 181,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,781.13 : 85,019.63 = 85,019.63 : x
  2. Step 2: Convert to fraction form
    39,781.13/85,019.63 = 85,019.63/x
  3. Step 3: Cross multiply
    39,781.13x = 85,019.63 × 85,019.63
  4. Step 4: Simplify right side
    39,781.13x = 7,228,336,635.14
  5. Step 5: Solve for x
    x = 7,228,336,635.14/39,781.13
  6. Step 6: Final answer
    x = 181,702.67

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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.