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Finding the Third Proportional to 206,972 and 452,688

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Solution

The third proportional to 206,972 and 452,688 is: 990,116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,972 : 452,688 = 452,688 : x
  2. Step 2: Convert to fraction form
    206,972/452,688 = 452,688/x
  3. Step 3: Cross multiply
    206,972x = 452,688 × 452,688
  4. Step 4: Simplify right side
    206,972x = 204,926,425,344
  5. Step 5: Solve for x
    x = 204,926,425,344/206,972
  6. Step 6: Final answer
    x = 990,116.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.