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Finding the Third Proportional to 176,120 and 343,416

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Solution

The third proportional to 176,120 and 343,416 is: 669,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,120 : 343,416 = 343,416 : x
  2. Step 2: Convert to fraction form
    176,120/343,416 = 343,416/x
  3. Step 3: Cross multiply
    176,120x = 343,416 × 343,416
  4. Step 4: Simplify right side
    176,120x = 117,934,549,056
  5. Step 5: Solve for x
    x = 117,934,549,056/176,120
  6. Step 6: Final answer
    x = 669,626.10

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.