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Finding the Third Proportional to 34,080 and 69,859.50

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Solution

The third proportional to 34,080 and 69,859.50 is: 143,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,080 : 69,859.50 = 69,859.50 : x
  2. Step 2: Convert to fraction form
    34,080/69,859.50 = 69,859.50/x
  3. Step 3: Cross multiply
    34,080x = 69,859.50 × 69,859.50
  4. Step 4: Simplify right side
    34,080x = 4,880,349,740.25
  5. Step 5: Solve for x
    x = 4,880,349,740.25/34,080
  6. Step 6: Final answer
    x = 143,202.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.