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Finding the Third Proportional to 291,752 and 628,144

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Solution

The third proportional to 291,752 and 628,144 is: 1,352,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,752 : 628,144 = 628,144 : x
  2. Step 2: Convert to fraction form
    291,752/628,144 = 628,144/x
  3. Step 3: Cross multiply
    291,752x = 628,144 × 628,144
  4. Step 4: Simplify right side
    291,752x = 394,564,884,736
  5. Step 5: Solve for x
    x = 394,564,884,736/291,752
  6. Step 6: Final answer
    x = 1,352,398.22

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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.