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Finding the Third Proportional to 288,009 and 628,428

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Solution

The third proportional to 288,009 and 628,428 is: 1,371,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,009 : 628,428 = 628,428 : x
  2. Step 2: Convert to fraction form
    288,009/628,428 = 628,428/x
  3. Step 3: Cross multiply
    288,009x = 628,428 × 628,428
  4. Step 4: Simplify right side
    288,009x = 394,921,751,184
  5. Step 5: Solve for x
    x = 394,921,751,184/288,009
  6. Step 6: Final answer
    x = 1,371,213.23

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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.