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Finding the Third Proportional to 290,792 and 640,120

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Solution

The third proportional to 290,792 and 640,120 is: 1,409,095.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,792 : 640,120 = 640,120 : x
  2. Step 2: Convert to fraction form
    290,792/640,120 = 640,120/x
  3. Step 3: Cross multiply
    290,792x = 640,120 × 640,120
  4. Step 4: Simplify right side
    290,792x = 409,753,614,400
  5. Step 5: Solve for x
    x = 409,753,614,400/290,792
  6. Step 6: Final answer
    x = 1,409,095.21

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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.