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Finding the Third Proportional to 171,909 and 265,639.50

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Solution

The third proportional to 171,909 and 265,639.50 is: 410,474.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,909 : 265,639.50 = 265,639.50 : x
  2. Step 2: Convert to fraction form
    171,909/265,639.50 = 265,639.50/x
  3. Step 3: Cross multiply
    171,909x = 265,639.50 × 265,639.50
  4. Step 4: Simplify right side
    171,909x = 70,564,343,960.25
  5. Step 5: Solve for x
    x = 70,564,343,960.25/171,909
  6. Step 6: Final answer
    x = 410,474.98

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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.