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Finding the Third Proportional to 103,915 and 223,370

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Solution

The third proportional to 103,915 and 223,370 is: 480,143.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,915 : 223,370 = 223,370 : x
  2. Step 2: Convert to fraction form
    103,915/223,370 = 223,370/x
  3. Step 3: Cross multiply
    103,915x = 223,370 × 223,370
  4. Step 4: Simplify right side
    103,915x = 49,894,156,900
  5. Step 5: Solve for x
    x = 49,894,156,900/103,915
  6. Step 6: Final answer
    x = 480,143.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.