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Finding the Third Proportional to 66,215.81 and 143,040.94

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Solution

The third proportional to 66,215.81 and 143,040.94 is: 309,000.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,215.81 : 143,040.94 = 143,040.94 : x
  2. Step 2: Convert to fraction form
    66,215.81/143,040.94 = 143,040.94/x
  3. Step 3: Cross multiply
    66,215.81x = 143,040.94 × 143,040.94
  4. Step 4: Simplify right side
    66,215.81x = 20,460,709,800.88
  5. Step 5: Solve for x
    x = 20,460,709,800.88/66,215.81
  6. Step 6: Final answer
    x = 309,000.36

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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.