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Finding the Third Proportional to 90,031 and 193,405.50

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Solution

The third proportional to 90,031 and 193,405.50 is: 415,475.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,031 : 193,405.50 = 193,405.50 : x
  2. Step 2: Convert to fraction form
    90,031/193,405.50 = 193,405.50/x
  3. Step 3: Cross multiply
    90,031x = 193,405.50 × 193,405.50
  4. Step 4: Simplify right side
    90,031x = 37,405,687,430.25
  5. Step 5: Solve for x
    x = 37,405,687,430.25/90,031
  6. Step 6: Final answer
    x = 415,475.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.