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Finding the Third Proportional to 62,645 and 135,143

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Solution

The third proportional to 62,645 and 135,143 is: 291,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,645 : 135,143 = 135,143 : x
  2. Step 2: Convert to fraction form
    62,645/135,143 = 135,143/x
  3. Step 3: Cross multiply
    62,645x = 135,143 × 135,143
  4. Step 4: Simplify right side
    62,645x = 18,263,630,449
  5. Step 5: Solve for x
    x = 18,263,630,449/62,645
  6. Step 6: Final answer
    x = 291,541.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.