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Finding the Third Proportional to 65,919 and 136,509

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Solution

The third proportional to 65,919 and 136,509 is: 282,690.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,919 : 136,509 = 136,509 : x
  2. Step 2: Convert to fraction form
    65,919/136,509 = 136,509/x
  3. Step 3: Cross multiply
    65,919x = 136,509 × 136,509
  4. Step 4: Simplify right side
    65,919x = 18,634,707,081
  5. Step 5: Solve for x
    x = 18,634,707,081/65,919
  6. Step 6: Final answer
    x = 282,690.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.