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Finding the Third Proportional to 290,880 and 634,320

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Solution

The third proportional to 290,880 and 634,320 is: 1,383,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,880 : 634,320 = 634,320 : x
  2. Step 2: Convert to fraction form
    290,880/634,320 = 634,320/x
  3. Step 3: Cross multiply
    290,880x = 634,320 × 634,320
  4. Step 4: Simplify right side
    290,880x = 402,361,862,400
  5. Step 5: Solve for x
    x = 402,361,862,400/290,880
  6. Step 6: Final answer
    x = 1,383,257.23

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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.