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Finding the Third Proportional to 70,969 and 155,545

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Solution

The third proportional to 70,969 and 155,545 is: 340,912.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,969 : 155,545 = 155,545 : x
  2. Step 2: Convert to fraction form
    70,969/155,545 = 155,545/x
  3. Step 3: Cross multiply
    70,969x = 155,545 × 155,545
  4. Step 4: Simplify right side
    70,969x = 24,194,247,025
  5. Step 5: Solve for x
    x = 24,194,247,025/70,969
  6. Step 6: Final answer
    x = 340,912.89

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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.