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Finding the Third Proportional to 63,911 and 136,018

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Solution

The third proportional to 63,911 and 136,018 is: 289,479.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,911 : 136,018 = 136,018 : x
  2. Step 2: Convert to fraction form
    63,911/136,018 = 136,018/x
  3. Step 3: Cross multiply
    63,911x = 136,018 × 136,018
  4. Step 4: Simplify right side
    63,911x = 18,500,896,324
  5. Step 5: Solve for x
    x = 18,500,896,324/63,911
  6. Step 6: Final answer
    x = 289,479.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.