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Finding the Third Proportional to 66,474.56 and 145,864.69

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Solution

The third proportional to 66,474.56 and 145,864.69 is: 320,069.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,474.56 : 145,864.69 = 145,864.69 : x
  2. Step 2: Convert to fraction form
    66,474.56/145,864.69 = 145,864.69/x
  3. Step 3: Cross multiply
    66,474.56x = 145,864.69 × 145,864.69
  4. Step 4: Simplify right side
    66,474.56x = 21,276,507,059.47
  5. Step 5: Solve for x
    x = 21,276,507,059.47/66,474.56
  6. Step 6: Final answer
    x = 320,069.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.