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Finding the Third Proportional to 109,291.78 and 257,626.41

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Solution

The third proportional to 109,291.78 and 257,626.41 is: 607,285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,291.78 : 257,626.41 = 257,626.41 : x
  2. Step 2: Convert to fraction form
    109,291.78/257,626.41 = 257,626.41/x
  3. Step 3: Cross multiply
    109,291.78x = 257,626.41 × 257,626.41
  4. Step 4: Simplify right side
    109,291.78x = 66,371,365,197.29
  5. Step 5: Solve for x
    x = 66,371,365,197.29/109,291.78
  6. Step 6: Final answer
    x = 607,285.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.