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Finding the Third Proportional to 63,464 and 135,678

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Solution

The third proportional to 63,464 and 135,678 is: 290,062.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,464 : 135,678 = 135,678 : x
  2. Step 2: Convert to fraction form
    63,464/135,678 = 135,678/x
  3. Step 3: Cross multiply
    63,464x = 135,678 × 135,678
  4. Step 4: Simplify right side
    63,464x = 18,408,519,684
  5. Step 5: Solve for x
    x = 18,408,519,684/63,464
  6. Step 6: Final answer
    x = 290,062.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.