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Finding the Third Proportional to 90,703 and 136,403

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Solution

The third proportional to 90,703 and 136,403 is: 205,128.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,703 : 136,403 = 136,403 : x
  2. Step 2: Convert to fraction form
    90,703/136,403 = 136,403/x
  3. Step 3: Cross multiply
    90,703x = 136,403 × 136,403
  4. Step 4: Simplify right side
    90,703x = 18,605,778,409
  5. Step 5: Solve for x
    x = 18,605,778,409/90,703
  6. Step 6: Final answer
    x = 205,128.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.