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Finding the Third Proportional to 292,099.50 and 638,266.50

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Solution

The third proportional to 292,099.50 and 638,266.50 is: 1,394,675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,099.50 : 638,266.50 = 638,266.50 : x
  2. Step 2: Convert to fraction form
    292,099.50/638,266.50 = 638,266.50/x
  3. Step 3: Cross multiply
    292,099.50x = 638,266.50 × 638,266.50
  4. Step 4: Simplify right side
    292,099.50x = 407,384,125,022.25
  5. Step 5: Solve for x
    x = 407,384,125,022.25/292,099.50
  6. Step 6: Final answer
    x = 1,394,675.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.