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Finding the Third Proportional to 166,110.75 and 257,709

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Solution

The third proportional to 166,110.75 and 257,709 is: 399,817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,110.75 : 257,709 = 257,709 : x
  2. Step 2: Convert to fraction form
    166,110.75/257,709 = 257,709/x
  3. Step 3: Cross multiply
    166,110.75x = 257,709 × 257,709
  4. Step 4: Simplify right side
    166,110.75x = 66,413,928,681
  5. Step 5: Solve for x
    x = 66,413,928,681/166,110.75
  6. Step 6: Final answer
    x = 399,817.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.