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Finding the Third Proportional to 290,869 and 628,432

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Solution

The third proportional to 290,869 and 628,432 is: 1,357,747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,869 : 628,432 = 628,432 : x
  2. Step 2: Convert to fraction form
    290,869/628,432 = 628,432/x
  3. Step 3: Cross multiply
    290,869x = 628,432 × 628,432
  4. Step 4: Simplify right side
    290,869x = 394,926,778,624
  5. Step 5: Solve for x
    x = 394,926,778,624/290,869
  6. Step 6: Final answer
    x = 1,357,747.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.