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Finding the Third Proportional to 210,726 and 323,133

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Solution

The third proportional to 210,726 and 323,133 is: 495,500.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,726 : 323,133 = 323,133 : x
  2. Step 2: Convert to fraction form
    210,726/323,133 = 323,133/x
  3. Step 3: Cross multiply
    210,726x = 323,133 × 323,133
  4. Step 4: Simplify right side
    210,726x = 104,414,935,689
  5. Step 5: Solve for x
    x = 104,414,935,689/210,726
  6. Step 6: Final answer
    x = 495,500.96

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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.