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Finding the Third Proportional to 171,135 and 399,847.50

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Solution

The third proportional to 171,135 and 399,847.50 is: 934,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,135 : 399,847.50 = 399,847.50 : x
  2. Step 2: Convert to fraction form
    171,135/399,847.50 = 399,847.50/x
  3. Step 3: Cross multiply
    171,135x = 399,847.50 × 399,847.50
  4. Step 4: Simplify right side
    171,135x = 159,878,023,256.25
  5. Step 5: Solve for x
    x = 159,878,023,256.25/171,135
  6. Step 6: Final answer
    x = 934,221.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.