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Finding the Third Proportional to 155,970.94 and 319,332.56

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Solution

The third proportional to 155,970.94 and 319,332.56 is: 653,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,970.94 : 319,332.56 = 319,332.56 : x
  2. Step 2: Convert to fraction form
    155,970.94/319,332.56 = 319,332.56/x
  3. Step 3: Cross multiply
    155,970.94x = 319,332.56 × 319,332.56
  4. Step 4: Simplify right side
    155,970.94x = 101,973,285,472.82
  5. Step 5: Solve for x
    x = 101,973,285,472.82/155,970.94
  6. Step 6: Final answer
    x = 653,796.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.