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Finding the Third Proportional to 62,430 and 135,228

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Solution

The third proportional to 62,430 and 135,228 is: 292,913.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,430 : 135,228 = 135,228 : x
  2. Step 2: Convert to fraction form
    62,430/135,228 = 135,228/x
  3. Step 3: Cross multiply
    62,430x = 135,228 × 135,228
  4. Step 4: Simplify right side
    62,430x = 18,286,611,984
  5. Step 5: Solve for x
    x = 18,286,611,984/62,430
  6. Step 6: Final answer
    x = 292,913.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.