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Finding the Third Proportional to 299,488 and 648,772

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Solution

The third proportional to 299,488 and 648,772 is: 1,405,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,488 : 648,772 = 648,772 : x
  2. Step 2: Convert to fraction form
    299,488/648,772 = 648,772/x
  3. Step 3: Cross multiply
    299,488x = 648,772 × 648,772
  4. Step 4: Simplify right side
    299,488x = 420,905,107,984
  5. Step 5: Solve for x
    x = 420,905,107,984/299,488
  6. Step 6: Final answer
    x = 1,405,415.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.