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Finding the Third Proportional to 66,854.25 and 146,828.81

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Solution

The third proportional to 66,854.25 and 146,828.81 is: 322,473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,854.25 : 146,828.81 = 146,828.81 : x
  2. Step 2: Convert to fraction form
    66,854.25/146,828.81 = 146,828.81/x
  3. Step 3: Cross multiply
    66,854.25x = 146,828.81 × 146,828.81
  4. Step 4: Simplify right side
    66,854.25x = 21,558,700,180.16
  5. Step 5: Solve for x
    x = 21,558,700,180.16/66,854.25
  6. Step 6: Final answer
    x = 322,473.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.