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Finding the Third Proportional to 66,295.50 and 143,179.50

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Solution

The third proportional to 66,295.50 and 143,179.50 is: 309,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,295.50 : 143,179.50 = 143,179.50 : x
  2. Step 2: Convert to fraction form
    66,295.50/143,179.50 = 143,179.50/x
  3. Step 3: Cross multiply
    66,295.50x = 143,179.50 × 143,179.50
  4. Step 4: Simplify right side
    66,295.50x = 20,500,369,220.25
  5. Step 5: Solve for x
    x = 20,500,369,220.25/66,295.50
  6. Step 6: Final answer
    x = 309,227.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.