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Finding the Third Proportional to 66,364.50 and 143,797.50

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Solution

The third proportional to 66,364.50 and 143,797.50 is: 311,578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,364.50 : 143,797.50 = 143,797.50 : x
  2. Step 2: Convert to fraction form
    66,364.50/143,797.50 = 143,797.50/x
  3. Step 3: Cross multiply
    66,364.50x = 143,797.50 × 143,797.50
  4. Step 4: Simplify right side
    66,364.50x = 20,677,721,006.25
  5. Step 5: Solve for x
    x = 20,677,721,006.25/66,364.50
  6. Step 6: Final answer
    x = 311,578.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.