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Finding the Third Proportional to 414,875.38 and 640,739.94

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Solution

The third proportional to 414,875.38 and 640,739.94 is: 989,568.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,875.38 : 640,739.94 = 640,739.94 : x
  2. Step 2: Convert to fraction form
    414,875.38/640,739.94 = 640,739.94/x
  3. Step 3: Cross multiply
    414,875.38x = 640,739.94 × 640,739.94
  4. Step 4: Simplify right side
    414,875.38x = 410,547,667,507.50
  5. Step 5: Solve for x
    x = 410,547,667,507.50/414,875.38
  6. Step 6: Final answer
    x = 989,568.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.