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Finding the Third Proportional to 289,216 and 622,840

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Solution

The third proportional to 289,216 and 622,840 is: 1,341,314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,216 : 622,840 = 622,840 : x
  2. Step 2: Convert to fraction form
    289,216/622,840 = 622,840/x
  3. Step 3: Cross multiply
    289,216x = 622,840 × 622,840
  4. Step 4: Simplify right side
    289,216x = 387,929,665,600
  5. Step 5: Solve for x
    x = 387,929,665,600/289,216
  6. Step 6: Final answer
    x = 1,341,314.68

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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.