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Finding the Third Proportional to 172,462.50 and 257,631.75

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Solution

The third proportional to 172,462.50 and 257,631.75 is: 384,861.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,462.50 : 257,631.75 = 257,631.75 : x
  2. Step 2: Convert to fraction form
    172,462.50/257,631.75 = 257,631.75/x
  3. Step 3: Cross multiply
    172,462.50x = 257,631.75 × 257,631.75
  4. Step 4: Simplify right side
    172,462.50x = 66,374,118,608.06
  5. Step 5: Solve for x
    x = 66,374,118,608.06/172,462.50
  6. Step 6: Final answer
    x = 384,861.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.