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Finding the Third Proportional to 413,268.75 and 638,330.63

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Solution

The third proportional to 413,268.75 and 638,330.63 is: 985,958.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,268.75 : 638,330.63 = 638,330.63 : x
  2. Step 2: Convert to fraction form
    413,268.75/638,330.63 = 638,330.63/x
  3. Step 3: Cross multiply
    413,268.75x = 638,330.63 × 638,330.63
  4. Step 4: Simplify right side
    413,268.75x = 407,465,986,812.89
  5. Step 5: Solve for x
    x = 407,465,986,812.89/413,268.75
  6. Step 6: Final answer
    x = 985,958.86

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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.