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Finding the Third Proportional to 39,690.63 and 84,840.22

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Solution

The third proportional to 39,690.63 and 84,840.22 is: 181,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,690.63 : 84,840.22 = 84,840.22 : x
  2. Step 2: Convert to fraction form
    39,690.63/84,840.22 = 84,840.22/x
  3. Step 3: Cross multiply
    39,690.63x = 84,840.22 × 84,840.22
  4. Step 4: Simplify right side
    39,690.63x = 7,197,863,380.36
  5. Step 5: Solve for x
    x = 7,197,863,380.36/39,690.63
  6. Step 6: Final answer
    x = 181,349.17

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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.