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Finding the Third Proportional to 288,117 and 628,722

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Solution

The third proportional to 288,117 and 628,722 is: 1,371,982.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,117 : 628,722 = 628,722 : x
  2. Step 2: Convert to fraction form
    288,117/628,722 = 628,722/x
  3. Step 3: Cross multiply
    288,117x = 628,722 × 628,722
  4. Step 4: Simplify right side
    288,117x = 395,291,353,284
  5. Step 5: Solve for x
    x = 395,291,353,284/288,117
  6. Step 6: Final answer
    x = 1,371,982.05

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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.