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Finding the Third Proportional to 71,130 and 155,652

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Solution

The third proportional to 71,130 and 155,652 is: 340,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,130 : 155,652 = 155,652 : x
  2. Step 2: Convert to fraction form
    71,130/155,652 = 155,652/x
  3. Step 3: Cross multiply
    71,130x = 155,652 × 155,652
  4. Step 4: Simplify right side
    71,130x = 24,227,545,104
  5. Step 5: Solve for x
    x = 24,227,545,104/71,130
  6. Step 6: Final answer
    x = 340,609.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.