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Finding the Third Proportional to 66,821.63 and 144,090.56

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Solution

The third proportional to 66,821.63 and 144,090.56 is: 310,709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,821.63 : 144,090.56 = 144,090.56 : x
  2. Step 2: Convert to fraction form
    66,821.63/144,090.56 = 144,090.56/x
  3. Step 3: Cross multiply
    66,821.63x = 144,090.56 × 144,090.56
  4. Step 4: Simplify right side
    66,821.63x = 20,762,090,201.57
  5. Step 5: Solve for x
    x = 20,762,090,201.57/66,821.63
  6. Step 6: Final answer
    x = 310,709.15

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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.