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Finding the Third Proportional to 243,843 and 348,023.50

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Solution

The third proportional to 243,843 and 348,023.50 is: 496,714.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,843 : 348,023.50 = 348,023.50 : x
  2. Step 2: Convert to fraction form
    243,843/348,023.50 = 348,023.50/x
  3. Step 3: Cross multiply
    243,843x = 348,023.50 × 348,023.50
  4. Step 4: Simplify right side
    243,843x = 121,120,356,552.25
  5. Step 5: Solve for x
    x = 121,120,356,552.25/243,843
  6. Step 6: Final answer
    x = 496,714.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.