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Finding the Third Proportional to 70,237.50 and 150,315

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Solution

The third proportional to 70,237.50 and 150,315 is: 321,688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,237.50 : 150,315 = 150,315 : x
  2. Step 2: Convert to fraction form
    70,237.50/150,315 = 150,315/x
  3. Step 3: Cross multiply
    70,237.50x = 150,315 × 150,315
  4. Step 4: Simplify right side
    70,237.50x = 22,594,599,225
  5. Step 5: Solve for x
    x = 22,594,599,225/70,237.50
  6. Step 6: Final answer
    x = 321,688.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.