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Finding the Third Proportional to 210,864 and 453,984

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Solution

The third proportional to 210,864 and 453,984 is: 977,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,864 : 453,984 = 453,984 : x
  2. Step 2: Convert to fraction form
    210,864/453,984 = 453,984/x
  3. Step 3: Cross multiply
    210,864x = 453,984 × 453,984
  4. Step 4: Simplify right side
    210,864x = 206,101,472,256
  5. Step 5: Solve for x
    x = 206,101,472,256/210,864
  6. Step 6: Final answer
    x = 977,414.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.