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Finding the Third Proportional to 65,639 and 98,438

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Solution

The third proportional to 65,639 and 98,438 is: 147,626.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,639 : 98,438 = 98,438 : x
  2. Step 2: Convert to fraction form
    65,639/98,438 = 98,438/x
  3. Step 3: Cross multiply
    65,639x = 98,438 × 98,438
  4. Step 4: Simplify right side
    65,639x = 9,690,039,844
  5. Step 5: Solve for x
    x = 9,690,039,844/65,639
  6. Step 6: Final answer
    x = 147,626.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.