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Finding the Third Proportional to 102,710 and 215,356

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Solution

The third proportional to 102,710 and 215,356 is: 451,545.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,710 : 215,356 = 215,356 : x
  2. Step 2: Convert to fraction form
    102,710/215,356 = 215,356/x
  3. Step 3: Cross multiply
    102,710x = 215,356 × 215,356
  4. Step 4: Simplify right side
    102,710x = 46,378,206,736
  5. Step 5: Solve for x
    x = 46,378,206,736/102,710
  6. Step 6: Final answer
    x = 451,545.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.