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Finding the Third Proportional to 130,772 and 202,073

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Solution

The third proportional to 130,772 and 202,073 is: 312,249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,772 : 202,073 = 202,073 : x
  2. Step 2: Convert to fraction form
    130,772/202,073 = 202,073/x
  3. Step 3: Cross multiply
    130,772x = 202,073 × 202,073
  4. Step 4: Simplify right side
    130,772x = 40,833,497,329
  5. Step 5: Solve for x
    x = 40,833,497,329/130,772
  6. Step 6: Final answer
    x = 312,249.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.