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Finding the Third Proportional to 90,039 and 195,342

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Solution

The third proportional to 90,039 and 195,342 is: 423,799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,039 : 195,342 = 195,342 : x
  2. Step 2: Convert to fraction form
    90,039/195,342 = 195,342/x
  3. Step 3: Cross multiply
    90,039x = 195,342 × 195,342
  4. Step 4: Simplify right side
    90,039x = 38,158,496,964
  5. Step 5: Solve for x
    x = 38,158,496,964/90,039
  6. Step 6: Final answer
    x = 423,799.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.