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Finding the Third Proportional to 66,026 and 142,318.75

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Solution

The third proportional to 66,026 and 142,318.75 is: 306,767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,026 : 142,318.75 = 142,318.75 : x
  2. Step 2: Convert to fraction form
    66,026/142,318.75 = 142,318.75/x
  3. Step 3: Cross multiply
    66,026x = 142,318.75 × 142,318.75
  4. Step 4: Simplify right side
    66,026x = 20,254,626,601.56
  5. Step 5: Solve for x
    x = 20,254,626,601.56/66,026
  6. Step 6: Final answer
    x = 306,767.43

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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.