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Finding the Third Proportional to 71,647.03 and 155,749.71

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Solution

The third proportional to 71,647.03 and 155,749.71 is: 338,576.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,647.03 : 155,749.71 = 155,749.71 : x
  2. Step 2: Convert to fraction form
    71,647.03/155,749.71 = 155,749.71/x
  3. Step 3: Cross multiply
    71,647.03x = 155,749.71 × 155,749.71
  4. Step 4: Simplify right side
    71,647.03x = 24,257,972,457.11
  5. Step 5: Solve for x
    x = 24,257,972,457.11/71,647.03
  6. Step 6: Final answer
    x = 338,576.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.