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Finding the Third Proportional to 210,555 and 323,965.50

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Solution

The third proportional to 210,555 and 323,965.50 is: 498,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,555 : 323,965.50 = 323,965.50 : x
  2. Step 2: Convert to fraction form
    210,555/323,965.50 = 323,965.50/x
  3. Step 3: Cross multiply
    210,555x = 323,965.50 × 323,965.50
  4. Step 4: Simplify right side
    210,555x = 104,953,645,190.25
  5. Step 5: Solve for x
    x = 104,953,645,190.25/210,555
  6. Step 6: Final answer
    x = 498,461.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.