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Finding the Third Proportional to 288,128 and 628,746

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Solution

The third proportional to 288,128 and 628,746 is: 1,372,034.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,128 : 628,746 = 628,746 : x
  2. Step 2: Convert to fraction form
    288,128/628,746 = 628,746/x
  3. Step 3: Cross multiply
    288,128x = 628,746 × 628,746
  4. Step 4: Simplify right side
    288,128x = 395,321,532,516
  5. Step 5: Solve for x
    x = 395,321,532,516/288,128
  6. Step 6: Final answer
    x = 1,372,034.42

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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.