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Finding the Third Proportional to 171,689 and 265,841

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Solution

The third proportional to 171,689 and 265,841 is: 411,624.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,689 : 265,841 = 265,841 : x
  2. Step 2: Convert to fraction form
    171,689/265,841 = 265,841/x
  3. Step 3: Cross multiply
    171,689x = 265,841 × 265,841
  4. Step 4: Simplify right side
    171,689x = 70,671,437,281
  5. Step 5: Solve for x
    x = 70,671,437,281/171,689
  6. Step 6: Final answer
    x = 411,624.72

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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.