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Finding the Third Proportional to 66,533.91 and 144,142.03

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Solution

The third proportional to 66,533.91 and 144,142.03 is: 312,275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,533.91 : 144,142.03 = 144,142.03 : x
  2. Step 2: Convert to fraction form
    66,533.91/144,142.03 = 144,142.03/x
  3. Step 3: Cross multiply
    66,533.91x = 144,142.03 × 144,142.03
  4. Step 4: Simplify right side
    66,533.91x = 20,776,925,172.88
  5. Step 5: Solve for x
    x = 20,776,925,172.88/66,533.91
  6. Step 6: Final answer
    x = 312,275.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.