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Finding the Third Proportional to 131,398.88 and 203,009.63

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Solution

The third proportional to 131,398.88 and 203,009.63 is: 313,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,398.88 : 203,009.63 = 203,009.63 : x
  2. Step 2: Convert to fraction form
    131,398.88/203,009.63 = 203,009.63/x
  3. Step 3: Cross multiply
    131,398.88x = 203,009.63 × 203,009.63
  4. Step 4: Simplify right side
    131,398.88x = 41,212,907,842.64
  5. Step 5: Solve for x
    x = 41,212,907,842.64/131,398.88
  6. Step 6: Final answer
    x = 313,647.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.