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Finding the Third Proportional to 130,760 and 202,836

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Solution

The third proportional to 130,760 and 202,836 is: 314,640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,760 : 202,836 = 202,836 : x
  2. Step 2: Convert to fraction form
    130,760/202,836 = 202,836/x
  3. Step 3: Cross multiply
    130,760x = 202,836 × 202,836
  4. Step 4: Simplify right side
    130,760x = 41,142,442,896
  5. Step 5: Solve for x
    x = 41,142,442,896/130,760
  6. Step 6: Final answer
    x = 314,640.89

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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.