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Finding the Third Proportional to 210,981 and 454,943

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Solution

The third proportional to 210,981 and 454,943 is: 981,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,981 : 454,943 = 454,943 : x
  2. Step 2: Convert to fraction form
    210,981/454,943 = 454,943/x
  3. Step 3: Cross multiply
    210,981x = 454,943 × 454,943
  4. Step 4: Simplify right side
    210,981x = 206,973,133,249
  5. Step 5: Solve for x
    x = 206,973,133,249/210,981
  6. Step 6: Final answer
    x = 981,003.66

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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.