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Finding the Third Proportional to 289,167 and 622,642.50

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Solution

The third proportional to 289,167 and 622,642.50 is: 1,340,691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,167 : 622,642.50 = 622,642.50 : x
  2. Step 2: Convert to fraction form
    289,167/622,642.50 = 622,642.50/x
  3. Step 3: Cross multiply
    289,167x = 622,642.50 × 622,642.50
  4. Step 4: Simplify right side
    289,167x = 387,683,682,806.25
  5. Step 5: Solve for x
    x = 387,683,682,806.25/289,167
  6. Step 6: Final answer
    x = 1,340,691.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.