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Finding the Third Proportional to 138,652.83 and 219,361.22

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Solution

The third proportional to 138,652.83 and 219,361.22 is: 347,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,652.83 : 219,361.22 = 219,361.22 : x
  2. Step 2: Convert to fraction form
    138,652.83/219,361.22 = 219,361.22/x
  3. Step 3: Cross multiply
    138,652.83x = 219,361.22 × 219,361.22
  4. Step 4: Simplify right side
    138,652.83x = 48,119,344,291.49
  5. Step 5: Solve for x
    x = 48,119,344,291.49/138,652.83
  6. Step 6: Final answer
    x = 347,049.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.