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Finding the Third Proportional to 242,828 and 515,245.75

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Solution

The third proportional to 242,828 and 515,245.75 is: 1,093,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,828 : 515,245.75 = 515,245.75 : x
  2. Step 2: Convert to fraction form
    242,828/515,245.75 = 515,245.75/x
  3. Step 3: Cross multiply
    242,828x = 515,245.75 × 515,245.75
  4. Step 4: Simplify right side
    242,828x = 265,478,182,893.06
  5. Step 5: Solve for x
    x = 265,478,182,893.06/242,828
  6. Step 6: Final answer
    x = 1,093,276.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.