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Finding the Third Proportional to 291,840 and 628,320

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Solution

The third proportional to 291,840 and 628,320 is: 1,352,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,840 : 628,320 = 628,320 : x
  2. Step 2: Convert to fraction form
    291,840/628,320 = 628,320/x
  3. Step 3: Cross multiply
    291,840x = 628,320 × 628,320
  4. Step 4: Simplify right side
    291,840x = 394,786,022,400
  5. Step 5: Solve for x
    x = 394,786,022,400/291,840
  6. Step 6: Final answer
    x = 1,352,748.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.