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Finding the Third Proportional to 296,212 and 644,984

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Solution

The third proportional to 296,212 and 644,984 is: 1,404,414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,212 : 644,984 = 644,984 : x
  2. Step 2: Convert to fraction form
    296,212/644,984 = 644,984/x
  3. Step 3: Cross multiply
    296,212x = 644,984 × 644,984
  4. Step 4: Simplify right side
    296,212x = 416,004,360,256
  5. Step 5: Solve for x
    x = 416,004,360,256/296,212
  6. Step 6: Final answer
    x = 1,404,414.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.