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Finding the Third Proportional to 132,408 and 202,586.06

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Solution

The third proportional to 132,408 and 202,586.06 is: 309,959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,408 : 202,586.06 = 202,586.06 : x
  2. Step 2: Convert to fraction form
    132,408/202,586.06 = 202,586.06/x
  3. Step 3: Cross multiply
    132,408x = 202,586.06 × 202,586.06
  4. Step 4: Simplify right side
    132,408x = 41,041,112,719.25
  5. Step 5: Solve for x
    x = 41,041,112,719.25/132,408
  6. Step 6: Final answer
    x = 309,959.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.