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Finding the Third Proportional to 103,130 and 215,188

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Solution

The third proportional to 103,130 and 215,188 is: 449,004.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,130 : 215,188 = 215,188 : x
  2. Step 2: Convert to fraction form
    103,130/215,188 = 215,188/x
  3. Step 3: Cross multiply
    103,130x = 215,188 × 215,188
  4. Step 4: Simplify right side
    103,130x = 46,305,875,344
  5. Step 5: Solve for x
    x = 46,305,875,344/103,130
  6. Step 6: Final answer
    x = 449,004.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.