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Finding the Third Proportional to 82,044 and 107,724

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Solution

The third proportional to 82,044 and 107,724 is: 141,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,044 : 107,724 = 107,724 : x
  2. Step 2: Convert to fraction form
    82,044/107,724 = 107,724/x
  3. Step 3: Cross multiply
    82,044x = 107,724 × 107,724
  4. Step 4: Simplify right side
    82,044x = 11,604,460,176
  5. Step 5: Solve for x
    x = 11,604,460,176/82,044
  6. Step 6: Final answer
    x = 141,441.91

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.