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Finding the Third Proportional to 63,089 and 137,378

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Solution

The third proportional to 63,089 and 137,378 is: 299,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,089 : 137,378 = 137,378 : x
  2. Step 2: Convert to fraction form
    63,089/137,378 = 137,378/x
  3. Step 3: Cross multiply
    63,089x = 137,378 × 137,378
  4. Step 4: Simplify right side
    63,089x = 18,872,714,884
  5. Step 5: Solve for x
    x = 18,872,714,884/63,089
  6. Step 6: Final answer
    x = 299,144.30

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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.