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Finding the Third Proportional to 62,410 and 93,678

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Solution

The third proportional to 62,410 and 93,678 is: 140,611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,410 : 93,678 = 93,678 : x
  2. Step 2: Convert to fraction form
    62,410/93,678 = 93,678/x
  3. Step 3: Cross multiply
    62,410x = 93,678 × 93,678
  4. Step 4: Simplify right side
    62,410x = 8,775,567,684
  5. Step 5: Solve for x
    x = 8,775,567,684/62,410
  6. Step 6: Final answer
    x = 140,611.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.