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Finding the Third Proportional to 111,332 and 172,416

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Solution

The third proportional to 111,332 and 172,416 is: 267,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,332 : 172,416 = 172,416 : x
  2. Step 2: Convert to fraction form
    111,332/172,416 = 172,416/x
  3. Step 3: Cross multiply
    111,332x = 172,416 × 172,416
  4. Step 4: Simplify right side
    111,332x = 29,727,277,056
  5. Step 5: Solve for x
    x = 29,727,277,056/111,332
  6. Step 6: Final answer
    x = 267,014.67

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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.