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Finding the Third Proportional to 90,574 and 133,091

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Solution

The third proportional to 90,574 and 133,091 is: 195,566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,574 : 133,091 = 133,091 : x
  2. Step 2: Convert to fraction form
    90,574/133,091 = 133,091/x
  3. Step 3: Cross multiply
    90,574x = 133,091 × 133,091
  4. Step 4: Simplify right side
    90,574x = 17,713,214,281
  5. Step 5: Solve for x
    x = 17,713,214,281/90,574
  6. Step 6: Final answer
    x = 195,566.21

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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.