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Finding the Third Proportional to 209,065 and 451,664

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Solution

The third proportional to 209,065 and 451,664 is: 975,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,065 : 451,664 = 451,664 : x
  2. Step 2: Convert to fraction form
    209,065/451,664 = 451,664/x
  3. Step 3: Cross multiply
    209,065x = 451,664 × 451,664
  4. Step 4: Simplify right side
    209,065x = 204,000,368,896
  5. Step 5: Solve for x
    x = 204,000,368,896/209,065
  6. Step 6: Final answer
    x = 975,774.85

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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.