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Finding the Third Proportional to 445,027.13 and 688,659.56

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Solution

The third proportional to 445,027.13 and 688,659.56 is: 1,065,669.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,027.13 : 688,659.56 = 688,659.56 : x
  2. Step 2: Convert to fraction form
    445,027.13/688,659.56 = 688,659.56/x
  3. Step 3: Cross multiply
    445,027.13x = 688,659.56 × 688,659.56
  4. Step 4: Simplify right side
    445,027.13x = 474,251,993,022.69
  5. Step 5: Solve for x
    x = 474,251,993,022.69/445,027.13
  6. Step 6: Final answer
    x = 1,065,669.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.