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Finding the Third Proportional to 290,524 and 633,320

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Solution

The third proportional to 290,524 and 633,320 is: 1,380,588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,524 : 633,320 = 633,320 : x
  2. Step 2: Convert to fraction form
    290,524/633,320 = 633,320/x
  3. Step 3: Cross multiply
    290,524x = 633,320 × 633,320
  4. Step 4: Simplify right side
    290,524x = 401,094,222,400
  5. Step 5: Solve for x
    x = 401,094,222,400/290,524
  6. Step 6: Final answer
    x = 1,380,588.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.