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Finding the Third Proportional to 66,490.88 and 142,320.38

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Solution

The third proportional to 66,490.88 and 142,320.38 is: 304,629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,490.88 : 142,320.38 = 142,320.38 : x
  2. Step 2: Convert to fraction form
    66,490.88/142,320.38 = 142,320.38/x
  3. Step 3: Cross multiply
    66,490.88x = 142,320.38 × 142,320.38
  4. Step 4: Simplify right side
    66,490.88x = 20,255,089,140.14
  5. Step 5: Solve for x
    x = 20,255,089,140.14/66,490.88
  6. Step 6: Final answer
    x = 304,629.61

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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.