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Finding the Third Proportional to 100,639 and 217,043

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Solution

The third proportional to 100,639 and 217,043 is: 468,085.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,639 : 217,043 = 217,043 : x
  2. Step 2: Convert to fraction form
    100,639/217,043 = 217,043/x
  3. Step 3: Cross multiply
    100,639x = 217,043 × 217,043
  4. Step 4: Simplify right side
    100,639x = 47,107,663,849
  5. Step 5: Solve for x
    x = 47,107,663,849/100,639
  6. Step 6: Final answer
    x = 468,085.57

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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.