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Finding the Third Proportional to 290,324.25 and 426,943.41

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Solution

The third proportional to 290,324.25 and 426,943.41 is: 627,852.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,324.25 : 426,943.41 = 426,943.41 : x
  2. Step 2: Convert to fraction form
    290,324.25/426,943.41 = 426,943.41/x
  3. Step 3: Cross multiply
    290,324.25x = 426,943.41 × 426,943.41
  4. Step 4: Simplify right side
    290,324.25x = 182,280,672,140.35
  5. Step 5: Solve for x
    x = 182,280,672,140.35/290,324.25
  6. Step 6: Final answer
    x = 627,852.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.