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Finding the Third Proportional to 66,424 and 98,690

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Solution

The third proportional to 66,424 and 98,690 is: 146,629.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,424 : 98,690 = 98,690 : x
  2. Step 2: Convert to fraction form
    66,424/98,690 = 98,690/x
  3. Step 3: Cross multiply
    66,424x = 98,690 × 98,690
  4. Step 4: Simplify right side
    66,424x = 9,739,716,100
  5. Step 5: Solve for x
    x = 9,739,716,100/66,424
  6. Step 6: Final answer
    x = 146,629.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.