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Finding the Third Proportional to 71,011.05 and 155,385.21

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Solution

The third proportional to 71,011.05 and 155,385.21 is: 340,011.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,011.05 : 155,385.21 = 155,385.21 : x
  2. Step 2: Convert to fraction form
    71,011.05/155,385.21 = 155,385.21/x
  3. Step 3: Cross multiply
    71,011.05x = 155,385.21 × 155,385.21
  4. Step 4: Simplify right side
    71,011.05x = 24,144,563,778.09
  5. Step 5: Solve for x
    x = 24,144,563,778.09/71,011.05
  6. Step 6: Final answer
    x = 340,011.34

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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.