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Finding the Third Proportional to 132,921 and 291,678.75

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Solution

The third proportional to 132,921 and 291,678.75 is: 640,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,921 : 291,678.75 = 291,678.75 : x
  2. Step 2: Convert to fraction form
    132,921/291,678.75 = 291,678.75/x
  3. Step 3: Cross multiply
    132,921x = 291,678.75 × 291,678.75
  4. Step 4: Simplify right side
    132,921x = 85,076,493,201.56
  5. Step 5: Solve for x
    x = 85,076,493,201.56/132,921
  6. Step 6: Final answer
    x = 640,053.06

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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.