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Finding the Third Proportional to 316,512 and 422,810

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Solution

The third proportional to 316,512 and 422,810 is: 564,807.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,512 : 422,810 = 422,810 : x
  2. Step 2: Convert to fraction form
    316,512/422,810 = 422,810/x
  3. Step 3: Cross multiply
    316,512x = 422,810 × 422,810
  4. Step 4: Simplify right side
    316,512x = 178,768,296,100
  5. Step 5: Solve for x
    x = 178,768,296,100/316,512
  6. Step 6: Final answer
    x = 564,807.33

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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.