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Finding the Third Proportional to 290,931 and 640,188

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Solution

The third proportional to 290,931 and 640,188 is: 1,408,721.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,931 : 640,188 = 640,188 : x
  2. Step 2: Convert to fraction form
    290,931/640,188 = 640,188/x
  3. Step 3: Cross multiply
    290,931x = 640,188 × 640,188
  4. Step 4: Simplify right side
    290,931x = 409,840,675,344
  5. Step 5: Solve for x
    x = 409,840,675,344/290,931
  6. Step 6: Final answer
    x = 1,408,721.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.