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Finding the Third Proportional to 90,421 and 136,450

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Solution

The third proportional to 90,421 and 136,450 is: 205,910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,421 : 136,450 = 136,450 : x
  2. Step 2: Convert to fraction form
    90,421/136,450 = 136,450/x
  3. Step 3: Cross multiply
    90,421x = 136,450 × 136,450
  4. Step 4: Simplify right side
    90,421x = 18,618,602,500
  5. Step 5: Solve for x
    x = 18,618,602,500/90,421
  6. Step 6: Final answer
    x = 205,910.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.