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Finding the Third Proportional to 66,479.06 and 142,298.44

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Solution

The third proportional to 66,479.06 and 142,298.44 is: 304,589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,479.06 : 142,298.44 = 142,298.44 : x
  2. Step 2: Convert to fraction form
    66,479.06/142,298.44 = 142,298.44/x
  3. Step 3: Cross multiply
    66,479.06x = 142,298.44 × 142,298.44
  4. Step 4: Simplify right side
    66,479.06x = 20,248,845,314.94
  5. Step 5: Solve for x
    x = 20,248,845,314.94/66,479.06
  6. Step 6: Final answer
    x = 304,589.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.