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Finding the Third Proportional to 561,840 and 1,238,205

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Solution

The third proportional to 561,840 and 1,238,205 is: 2,728,804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,840 : 1,238,205 = 1,238,205 : x
  2. Step 2: Convert to fraction form
    561,840/1,238,205 = 1,238,205/x
  3. Step 3: Cross multiply
    561,840x = 1,238,205 × 1,238,205
  4. Step 4: Simplify right side
    561,840x = 1,533,151,622,025
  5. Step 5: Solve for x
    x = 1,533,151,622,025/561,840
  6. Step 6: Final answer
    x = 2,728,804.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.