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Finding the Third Proportional to 84,412.13 and 118,720.69

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Solution

The third proportional to 84,412.13 and 118,720.69 is: 166,973.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,412.13 : 118,720.69 = 118,720.69 : x
  2. Step 2: Convert to fraction form
    84,412.13/118,720.69 = 118,720.69/x
  3. Step 3: Cross multiply
    84,412.13x = 118,720.69 × 118,720.69
  4. Step 4: Simplify right side
    84,412.13x = 14,094,601,640.47
  5. Step 5: Solve for x
    x = 14,094,601,640.47/84,412.13
  6. Step 6: Final answer
    x = 166,973.66

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.