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Finding the Third Proportional to 314,400.38 and 681,969.38

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Solution

The third proportional to 314,400.38 and 681,969.38 is: 1,479,267.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,400.38 : 681,969.38 = 681,969.38 : x
  2. Step 2: Convert to fraction form
    314,400.38/681,969.38 = 681,969.38/x
  3. Step 3: Cross multiply
    314,400.38x = 681,969.38 × 681,969.38
  4. Step 4: Simplify right side
    314,400.38x = 465,082,228,437.89
  5. Step 5: Solve for x
    x = 465,082,228,437.89/314,400.38
  6. Step 6: Final answer
    x = 1,479,267.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.