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Finding the Third Proportional to 210,939 and 326,707.50

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Solution

The third proportional to 210,939 and 326,707.50 is: 506,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,939 : 326,707.50 = 326,707.50 : x
  2. Step 2: Convert to fraction form
    210,939/326,707.50 = 326,707.50/x
  3. Step 3: Cross multiply
    210,939x = 326,707.50 × 326,707.50
  4. Step 4: Simplify right side
    210,939x = 106,737,790,556.25
  5. Step 5: Solve for x
    x = 106,737,790,556.25/210,939
  6. Step 6: Final answer
    x = 506,012.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.