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Finding the Third Proportional to 102,216 and 223,440

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Solution

The third proportional to 102,216 and 223,440 is: 488,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,216 : 223,440 = 223,440 : x
  2. Step 2: Convert to fraction form
    102,216/223,440 = 223,440/x
  3. Step 3: Cross multiply
    102,216x = 223,440 × 223,440
  4. Step 4: Simplify right side
    102,216x = 49,925,433,600
  5. Step 5: Solve for x
    x = 49,925,433,600/102,216
  6. Step 6: Final answer
    x = 488,430.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.