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Finding the Third Proportional to 127,985 and 172,295

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Solution

The third proportional to 127,985 and 172,295 is: 231,945.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,985 : 172,295 = 172,295 : x
  2. Step 2: Convert to fraction form
    127,985/172,295 = 172,295/x
  3. Step 3: Cross multiply
    127,985x = 172,295 × 172,295
  4. Step 4: Simplify right side
    127,985x = 29,685,567,025
  5. Step 5: Solve for x
    x = 29,685,567,025/127,985
  6. Step 6: Final answer
    x = 231,945.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.