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Finding the Third Proportional to 299,262 and 645,999

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Solution

The third proportional to 299,262 and 645,999 is: 1,394,479.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,262 : 645,999 = 645,999 : x
  2. Step 2: Convert to fraction form
    299,262/645,999 = 645,999/x
  3. Step 3: Cross multiply
    299,262x = 645,999 × 645,999
  4. Step 4: Simplify right side
    299,262x = 417,314,708,001
  5. Step 5: Solve for x
    x = 417,314,708,001/299,262
  6. Step 6: Final answer
    x = 1,394,479.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.