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Finding the Third Proportional to 176,066 and 343,312

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Solution

The third proportional to 176,066 and 343,312 is: 669,425.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,066 : 343,312 = 343,312 : x
  2. Step 2: Convert to fraction form
    176,066/343,312 = 343,312/x
  3. Step 3: Cross multiply
    176,066x = 343,312 × 343,312
  4. Step 4: Simplify right side
    176,066x = 117,863,129,344
  5. Step 5: Solve for x
    x = 117,863,129,344/176,066
  6. Step 6: Final answer
    x = 669,425.84

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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.