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Finding the Third Proportional to 81,245.81 and 118,859.06

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Solution

The third proportional to 81,245.81 and 118,859.06 is: 173,885.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,245.81 : 118,859.06 = 118,859.06 : x
  2. Step 2: Convert to fraction form
    81,245.81/118,859.06 = 118,859.06/x
  3. Step 3: Cross multiply
    81,245.81x = 118,859.06 × 118,859.06
  4. Step 4: Simplify right side
    81,245.81x = 14,127,476,738.38
  5. Step 5: Solve for x
    x = 14,127,476,738.38/81,245.81
  6. Step 6: Final answer
    x = 173,885.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.