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Finding the Third Proportional to 140,152.50 and 211,905

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Solution

The third proportional to 140,152.50 and 211,905 is: 320,391.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,152.50 : 211,905 = 211,905 : x
  2. Step 2: Convert to fraction form
    140,152.50/211,905 = 211,905/x
  3. Step 3: Cross multiply
    140,152.50x = 211,905 × 211,905
  4. Step 4: Simplify right side
    140,152.50x = 44,903,729,025
  5. Step 5: Solve for x
    x = 44,903,729,025/140,152.50
  6. Step 6: Final answer
    x = 320,391.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.