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Finding the Third Proportional to 403,823.81 and 625,207.78

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Solution

The third proportional to 403,823.81 and 625,207.78 is: 967,958.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,823.81 : 625,207.78 = 625,207.78 : x
  2. Step 2: Convert to fraction form
    403,823.81/625,207.78 = 625,207.78/x
  3. Step 3: Cross multiply
    403,823.81x = 625,207.78 × 625,207.78
  4. Step 4: Simplify right side
    403,823.81x = 390,884,769,735.55
  5. Step 5: Solve for x
    x = 390,884,769,735.55/403,823.81
  6. Step 6: Final answer
    x = 967,958.69

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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.