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Finding the Third Proportional to 210,117.50 and 315,391.25

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Solution

The third proportional to 210,117.50 and 315,391.25 is: 473,409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,117.50 : 315,391.25 = 315,391.25 : x
  2. Step 2: Convert to fraction form
    210,117.50/315,391.25 = 315,391.25/x
  3. Step 3: Cross multiply
    210,117.50x = 315,391.25 × 315,391.25
  4. Step 4: Simplify right side
    210,117.50x = 99,471,640,576.56
  5. Step 5: Solve for x
    x = 99,471,640,576.56/210,117.50
  6. Step 6: Final answer
    x = 473,409.59

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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.