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Finding the Third Proportional to 100,762 and 217,258

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Solution

The third proportional to 100,762 and 217,258 is: 468,440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,762 : 217,258 = 217,258 : x
  2. Step 2: Convert to fraction form
    100,762/217,258 = 217,258/x
  3. Step 3: Cross multiply
    100,762x = 217,258 × 217,258
  4. Step 4: Simplify right side
    100,762x = 47,201,038,564
  5. Step 5: Solve for x
    x = 47,201,038,564/100,762
  6. Step 6: Final answer
    x = 468,440.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.