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Finding the Third Proportional to 66,926.25 and 145,865.81

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Solution

The third proportional to 66,926.25 and 145,865.81 is: 317,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,926.25 : 145,865.81 = 145,865.81 : x
  2. Step 2: Convert to fraction form
    66,926.25/145,865.81 = 145,865.81/x
  3. Step 3: Cross multiply
    66,926.25x = 145,865.81 × 145,865.81
  4. Step 4: Simplify right side
    66,926.25x = 21,276,835,256.29
  5. Step 5: Solve for x
    x = 21,276,835,256.29/66,926.25
  6. Step 6: Final answer
    x = 317,914.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.