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Finding the Third Proportional to 210,729 and 323,137.50

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Solution

The third proportional to 210,729 and 323,137.50 is: 495,507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,729 : 323,137.50 = 323,137.50 : x
  2. Step 2: Convert to fraction form
    210,729/323,137.50 = 323,137.50/x
  3. Step 3: Cross multiply
    210,729x = 323,137.50 × 323,137.50
  4. Step 4: Simplify right side
    210,729x = 104,417,843,906.25
  5. Step 5: Solve for x
    x = 104,417,843,906.25/210,729
  6. Step 6: Final answer
    x = 495,507.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.