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Finding the Third Proportional to 353,490.75 and 763,013.25

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Solution

The third proportional to 353,490.75 and 763,013.25 is: 1,646,971.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,490.75 : 763,013.25 = 763,013.25 : x
  2. Step 2: Convert to fraction form
    353,490.75/763,013.25 = 763,013.25/x
  3. Step 3: Cross multiply
    353,490.75x = 763,013.25 × 763,013.25
  4. Step 4: Simplify right side
    353,490.75x = 582,189,219,675.56
  5. Step 5: Solve for x
    x = 582,189,219,675.56/353,490.75
  6. Step 6: Final answer
    x = 1,646,971.58

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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.