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Finding the Third Proportional to 316,443 and 644,636.25

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Solution

The third proportional to 316,443 and 644,636.25 is: 1,313,209.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,443 : 644,636.25 = 644,636.25 : x
  2. Step 2: Convert to fraction form
    316,443/644,636.25 = 644,636.25/x
  3. Step 3: Cross multiply
    316,443x = 644,636.25 × 644,636.25
  4. Step 4: Simplify right side
    316,443x = 415,555,894,814.06
  5. Step 5: Solve for x
    x = 415,555,894,814.06/316,443
  6. Step 6: Final answer
    x = 1,313,209.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.