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Finding the Third Proportional to 90,045 and 193,432

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Solution

The third proportional to 90,045 and 193,432 is: 415,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,045 : 193,432 = 193,432 : x
  2. Step 2: Convert to fraction form
    90,045/193,432 = 193,432/x
  3. Step 3: Cross multiply
    90,045x = 193,432 × 193,432
  4. Step 4: Simplify right side
    90,045x = 37,415,938,624
  5. Step 5: Solve for x
    x = 37,415,938,624/90,045
  6. Step 6: Final answer
    x = 415,524.89

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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.