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Finding the Third Proportional to 90,309 and 140,633

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Solution

The third proportional to 90,309 and 140,633 is: 218,999.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,309 : 140,633 = 140,633 : x
  2. Step 2: Convert to fraction form
    90,309/140,633 = 140,633/x
  3. Step 3: Cross multiply
    90,309x = 140,633 × 140,633
  4. Step 4: Simplify right side
    90,309x = 19,777,640,689
  5. Step 5: Solve for x
    x = 19,777,640,689/90,309
  6. Step 6: Final answer
    x = 218,999.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.