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Finding the Third Proportional to 728,982 and 1,577,772

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Solution

The third proportional to 728,982 and 1,577,772 is: 3,414,850.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,982 : 1,577,772 = 1,577,772 : x
  2. Step 2: Convert to fraction form
    728,982/1,577,772 = 1,577,772/x
  3. Step 3: Cross multiply
    728,982x = 1,577,772 × 1,577,772
  4. Step 4: Simplify right side
    728,982x = 2,489,364,483,984
  5. Step 5: Solve for x
    x = 2,489,364,483,984/728,982
  6. Step 6: Final answer
    x = 3,414,850.41

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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.