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Finding the Third Proportional to 90,065 and 208,487

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Solution

The third proportional to 90,065 and 208,487 is: 482,616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,065 : 208,487 = 208,487 : x
  2. Step 2: Convert to fraction form
    90,065/208,487 = 208,487/x
  3. Step 3: Cross multiply
    90,065x = 208,487 × 208,487
  4. Step 4: Simplify right side
    90,065x = 43,466,829,169
  5. Step 5: Solve for x
    x = 43,466,829,169/90,065
  6. Step 6: Final answer
    x = 482,616.21

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.