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Finding the Third Proportional to 69,147 and 148,804

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Solution

The third proportional to 69,147 and 148,804 is: 320,225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,147 : 148,804 = 148,804 : x
  2. Step 2: Convert to fraction form
    69,147/148,804 = 148,804/x
  3. Step 3: Cross multiply
    69,147x = 148,804 × 148,804
  4. Step 4: Simplify right side
    69,147x = 22,142,630,416
  5. Step 5: Solve for x
    x = 22,142,630,416/69,147
  6. Step 6: Final answer
    x = 320,225.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.