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Finding the Third Proportional to 69,388.50 and 163,746.75

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Solution

The third proportional to 69,388.50 and 163,746.75 is: 386,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,388.50 : 163,746.75 = 163,746.75 : x
  2. Step 2: Convert to fraction form
    69,388.50/163,746.75 = 163,746.75/x
  3. Step 3: Cross multiply
    69,388.50x = 163,746.75 × 163,746.75
  4. Step 4: Simplify right side
    69,388.50x = 26,812,998,135.56
  5. Step 5: Solve for x
    x = 26,812,998,135.56/69,388.50
  6. Step 6: Final answer
    x = 386,418.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.