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Finding the Third Proportional to 102,998 and 217,068

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Solution

The third proportional to 102,998 and 217,068 is: 457,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,998 : 217,068 = 217,068 : x
  2. Step 2: Convert to fraction form
    102,998/217,068 = 217,068/x
  3. Step 3: Cross multiply
    102,998x = 217,068 × 217,068
  4. Step 4: Simplify right side
    102,998x = 47,118,516,624
  5. Step 5: Solve for x
    x = 47,118,516,624/102,998
  6. Step 6: Final answer
    x = 457,470.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.