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Finding the Third Proportional to 66,838.50 and 147,069

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Solution

The third proportional to 66,838.50 and 147,069 is: 323,605.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,838.50 : 147,069 = 147,069 : x
  2. Step 2: Convert to fraction form
    66,838.50/147,069 = 147,069/x
  3. Step 3: Cross multiply
    66,838.50x = 147,069 × 147,069
  4. Step 4: Simplify right side
    66,838.50x = 21,629,290,761
  5. Step 5: Solve for x
    x = 21,629,290,761/66,838.50
  6. Step 6: Final answer
    x = 323,605.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.