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Finding the Third Proportional to 63,170 and 137,476

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Solution

The third proportional to 63,170 and 137,476 is: 299,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,170 : 137,476 = 137,476 : x
  2. Step 2: Convert to fraction form
    63,170/137,476 = 137,476/x
  3. Step 3: Cross multiply
    63,170x = 137,476 × 137,476
  4. Step 4: Simplify right side
    63,170x = 18,899,650,576
  5. Step 5: Solve for x
    x = 18,899,650,576/63,170
  6. Step 6: Final answer
    x = 299,187.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.