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Finding the Third Proportional to 27,042 and 39,742.50

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Solution

The third proportional to 27,042 and 39,742.50 is: 58,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,042 : 39,742.50 = 39,742.50 : x
  2. Step 2: Convert to fraction form
    27,042/39,742.50 = 39,742.50/x
  3. Step 3: Cross multiply
    27,042x = 39,742.50 × 39,742.50
  4. Step 4: Simplify right side
    27,042x = 1,579,466,306.25
  5. Step 5: Solve for x
    x = 1,579,466,306.25/27,042
  6. Step 6: Final answer
    x = 58,407.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.