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Finding the Third Proportional to 90,031 and 193,407

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Solution

The third proportional to 90,031 and 193,407 is: 415,482.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,031 : 193,407 = 193,407 : x
  2. Step 2: Convert to fraction form
    90,031/193,407 = 193,407/x
  3. Step 3: Cross multiply
    90,031x = 193,407 × 193,407
  4. Step 4: Simplify right side
    90,031x = 37,406,267,649
  5. Step 5: Solve for x
    x = 37,406,267,649/90,031
  6. Step 6: Final answer
    x = 415,482.09

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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.