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Finding the Third Proportional to 142,533.75 and 309,708.75

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Solution

The third proportional to 142,533.75 and 309,708.75 is: 672,959.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,533.75 : 309,708.75 = 309,708.75 : x
  2. Step 2: Convert to fraction form
    142,533.75/309,708.75 = 309,708.75/x
  3. Step 3: Cross multiply
    142,533.75x = 309,708.75 × 309,708.75
  4. Step 4: Simplify right side
    142,533.75x = 95,919,509,826.56
  5. Step 5: Solve for x
    x = 95,919,509,826.56/142,533.75
  6. Step 6: Final answer
    x = 672,959.98

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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.