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Finding the Third Proportional to 133,013.81 and 291,896.16

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Solution

The third proportional to 133,013.81 and 291,896.16 is: 640,560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,013.81 : 291,896.16 = 291,896.16 : x
  2. Step 2: Convert to fraction form
    133,013.81/291,896.16 = 291,896.16/x
  3. Step 3: Cross multiply
    133,013.81x = 291,896.16 × 291,896.16
  4. Step 4: Simplify right side
    133,013.81x = 85,203,366,033.52
  5. Step 5: Solve for x
    x = 85,203,366,033.52/133,013.81
  6. Step 6: Final answer
    x = 640,560.29

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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.