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Finding the Third Proportional to 71,023.50 and 155,411

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Solution

The third proportional to 71,023.50 and 155,411 is: 340,064.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,023.50 : 155,411 = 155,411 : x
  2. Step 2: Convert to fraction form
    71,023.50/155,411 = 155,411/x
  3. Step 3: Cross multiply
    71,023.50x = 155,411 × 155,411
  4. Step 4: Simplify right side
    71,023.50x = 24,152,578,921
  5. Step 5: Solve for x
    x = 24,152,578,921/71,023.50
  6. Step 6: Final answer
    x = 340,064.61

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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.