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Finding the Third Proportional to 66,622.50 and 143,127

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Solution

The third proportional to 66,622.50 and 143,127 is: 307,483.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,622.50 : 143,127 = 143,127 : x
  2. Step 2: Convert to fraction form
    66,622.50/143,127 = 143,127/x
  3. Step 3: Cross multiply
    66,622.50x = 143,127 × 143,127
  4. Step 4: Simplify right side
    66,622.50x = 20,485,338,129
  5. Step 5: Solve for x
    x = 20,485,338,129/66,622.50
  6. Step 6: Final answer
    x = 307,483.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.