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Finding the Third Proportional to 66,683.25 and 145,349.44

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Solution

The third proportional to 66,683.25 and 145,349.44 is: 316,818.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,683.25 : 145,349.44 = 145,349.44 : x
  2. Step 2: Convert to fraction form
    66,683.25/145,349.44 = 145,349.44/x
  3. Step 3: Cross multiply
    66,683.25x = 145,349.44 × 145,349.44
  4. Step 4: Simplify right side
    66,683.25x = 21,126,458,981.57
  5. Step 5: Solve for x
    x = 21,126,458,981.57/66,683.25
  6. Step 6: Final answer
    x = 316,818.08

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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.