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Finding the Third Proportional to 210,510 and 454,716

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Solution

The third proportional to 210,510 and 454,716 is: 982,217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,510 : 454,716 = 454,716 : x
  2. Step 2: Convert to fraction form
    210,510/454,716 = 454,716/x
  3. Step 3: Cross multiply
    210,510x = 454,716 × 454,716
  4. Step 4: Simplify right side
    210,510x = 206,766,640,656
  5. Step 5: Solve for x
    x = 206,766,640,656/210,510
  6. Step 6: Final answer
    x = 982,217.66

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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.