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Finding the Third Proportional to 90,458 and 133,069

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Solution

The third proportional to 90,458 and 133,069 is: 195,752.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,458 : 133,069 = 133,069 : x
  2. Step 2: Convert to fraction form
    90,458/133,069 = 133,069/x
  3. Step 3: Cross multiply
    90,458x = 133,069 × 133,069
  4. Step 4: Simplify right side
    90,458x = 17,707,358,761
  5. Step 5: Solve for x
    x = 17,707,358,761/90,458
  6. Step 6: Final answer
    x = 195,752.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.