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Finding the Third Proportional to 90,068 and 208,511

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Solution

The third proportional to 90,068 and 208,511 is: 482,711.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,068 : 208,511 = 208,511 : x
  2. Step 2: Convert to fraction form
    90,068/208,511 = 208,511/x
  3. Step 3: Cross multiply
    90,068x = 208,511 × 208,511
  4. Step 4: Simplify right side
    90,068x = 43,476,837,121
  5. Step 5: Solve for x
    x = 43,476,837,121/90,068
  6. Step 6: Final answer
    x = 482,711.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.