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Finding the Third Proportional to 35,090 and 66,947

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Solution

The third proportional to 35,090 and 66,947 is: 127,725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,090 : 66,947 = 66,947 : x
  2. Step 2: Convert to fraction form
    35,090/66,947 = 66,947/x
  3. Step 3: Cross multiply
    35,090x = 66,947 × 66,947
  4. Step 4: Simplify right side
    35,090x = 4,481,900,809
  5. Step 5: Solve for x
    x = 4,481,900,809/35,090
  6. Step 6: Final answer
    x = 127,725.87

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.