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Finding the Third Proportional to 66,419 and 98,688

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Solution

The third proportional to 66,419 and 98,688 is: 146,634.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,419 : 98,688 = 98,688 : x
  2. Step 2: Convert to fraction form
    66,419/98,688 = 98,688/x
  3. Step 3: Cross multiply
    66,419x = 98,688 × 98,688
  4. Step 4: Simplify right side
    66,419x = 9,739,321,344
  5. Step 5: Solve for x
    x = 9,739,321,344/66,419
  6. Step 6: Final answer
    x = 146,634.57

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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.