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Finding the Third Proportional to 316,444.50 and 644,640

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Solution

The third proportional to 316,444.50 and 644,640 is: 1,313,218.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,444.50 : 644,640 = 644,640 : x
  2. Step 2: Convert to fraction form
    316,444.50/644,640 = 644,640/x
  3. Step 3: Cross multiply
    316,444.50x = 644,640 × 644,640
  4. Step 4: Simplify right side
    316,444.50x = 415,560,729,600
  5. Step 5: Solve for x
    x = 415,560,729,600/316,444.50
  6. Step 6: Final answer
    x = 1,313,218.37

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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.