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Finding the Third Proportional to 68,138.72 and 146,688.47

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Solution

The third proportional to 68,138.72 and 146,688.47 is: 315,789.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,138.72 : 146,688.47 = 146,688.47 : x
  2. Step 2: Convert to fraction form
    68,138.72/146,688.47 = 146,688.47/x
  3. Step 3: Cross multiply
    68,138.72x = 146,688.47 × 146,688.47
  4. Step 4: Simplify right side
    68,138.72x = 21,517,506,864.22
  5. Step 5: Solve for x
    x = 21,517,506,864.22/68,138.72
  6. Step 6: Final answer
    x = 315,789.72

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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.