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Finding the Third Proportional to 201,056 and 290,725

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Solution

The third proportional to 201,056 and 290,725 is: 420,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,056 : 290,725 = 290,725 : x
  2. Step 2: Convert to fraction form
    201,056/290,725 = 290,725/x
  3. Step 3: Cross multiply
    201,056x = 290,725 × 290,725
  4. Step 4: Simplify right side
    201,056x = 84,521,025,625
  5. Step 5: Solve for x
    x = 84,521,025,625/201,056
  6. Step 6: Final answer
    x = 420,385.49

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.