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Finding the Third Proportional to 316,443 and 422,712

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Solution

The third proportional to 316,443 and 422,712 is: 564,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,443 : 422,712 = 422,712 : x
  2. Step 2: Convert to fraction form
    316,443/422,712 = 422,712/x
  3. Step 3: Cross multiply
    316,443x = 422,712 × 422,712
  4. Step 4: Simplify right side
    316,443x = 178,685,434,944
  5. Step 5: Solve for x
    x = 178,685,434,944/316,443
  6. Step 6: Final answer
    x = 564,668.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.