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Finding the Third Proportional to 478,140.47 and 1,040,394.38

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Solution

The third proportional to 478,140.47 and 1,040,394.38 is: 2,263,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,140.47 : 1,040,394.38 = 1,040,394.38 : x
  2. Step 2: Convert to fraction form
    478,140.47/1,040,394.38 = 1,040,394.38/x
  3. Step 3: Cross multiply
    478,140.47x = 1,040,394.38 × 1,040,394.38
  4. Step 4: Simplify right side
    478,140.47x = 1,082,420,455,531.64
  5. Step 5: Solve for x
    x = 1,082,420,455,531.64/478,140.47
  6. Step 6: Final answer
    x = 2,263,812.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.