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Finding the Third Proportional to 210,905 and 453,814.50

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Solution

The third proportional to 210,905 and 453,814.50 is: 976,494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,905 : 453,814.50 = 453,814.50 : x
  2. Step 2: Convert to fraction form
    210,905/453,814.50 = 453,814.50/x
  3. Step 3: Cross multiply
    210,905x = 453,814.50 × 453,814.50
  4. Step 4: Simplify right side
    210,905x = 205,947,600,410.25
  5. Step 5: Solve for x
    x = 205,947,600,410.25/210,905
  6. Step 6: Final answer
    x = 976,494.63

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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.