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Finding the Third Proportional to 210,069 and 315,258.75

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Solution

The third proportional to 210,069 and 315,258.75 is: 473,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,069 : 315,258.75 = 315,258.75 : x
  2. Step 2: Convert to fraction form
    210,069/315,258.75 = 315,258.75/x
  3. Step 3: Cross multiply
    210,069x = 315,258.75 × 315,258.75
  4. Step 4: Simplify right side
    210,069x = 99,388,079,451.56
  5. Step 5: Solve for x
    x = 99,388,079,451.56/210,069
  6. Step 6: Final answer
    x = 473,121.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.