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Finding the Third Proportional to 210,292 and 454,280

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Solution

The third proportional to 210,292 and 454,280 is: 981,351.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,292 : 454,280 = 454,280 : x
  2. Step 2: Convert to fraction form
    210,292/454,280 = 454,280/x
  3. Step 3: Cross multiply
    210,292x = 454,280 × 454,280
  4. Step 4: Simplify right side
    210,292x = 206,370,318,400
  5. Step 5: Solve for x
    x = 206,370,318,400/210,292
  6. Step 6: Final answer
    x = 981,351.26

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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.