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Finding the Third Proportional to 207,290 and 447,664

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Solution

The third proportional to 207,290 and 447,664 is: 966,776.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,290 : 447,664 = 447,664 : x
  2. Step 2: Convert to fraction form
    207,290/447,664 = 447,664/x
  3. Step 3: Cross multiply
    207,290x = 447,664 × 447,664
  4. Step 4: Simplify right side
    207,290x = 200,403,056,896
  5. Step 5: Solve for x
    x = 200,403,056,896/207,290
  6. Step 6: Final answer
    x = 966,776.29

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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.