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Finding the Third Proportional to 210,905 and 453,816

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Solution

The third proportional to 210,905 and 453,816 is: 976,501.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,905 : 453,816 = 453,816 : x
  2. Step 2: Convert to fraction form
    210,905/453,816 = 453,816/x
  3. Step 3: Cross multiply
    210,905x = 453,816 × 453,816
  4. Step 4: Simplify right side
    210,905x = 205,948,961,856
  5. Step 5: Solve for x
    x = 205,948,961,856/210,905
  6. Step 6: Final answer
    x = 976,501.09

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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.