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Finding the Third Proportional to 171,216 and 266,148

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Solution

The third proportional to 171,216 and 266,148 is: 413,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,216 : 266,148 = 266,148 : x
  2. Step 2: Convert to fraction form
    171,216/266,148 = 266,148/x
  3. Step 3: Cross multiply
    171,216x = 266,148 × 266,148
  4. Step 4: Simplify right side
    171,216x = 70,834,757,904
  5. Step 5: Solve for x
    x = 70,834,757,904/171,216
  6. Step 6: Final answer
    x = 413,715.76

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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.