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Finding the Third Proportional to 155,356.31 and 340,367.06

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Solution

The third proportional to 155,356.31 and 340,367.06 is: 745,703.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,356.31 : 340,367.06 = 340,367.06 : x
  2. Step 2: Convert to fraction form
    155,356.31/340,367.06 = 340,367.06/x
  3. Step 3: Cross multiply
    155,356.31x = 340,367.06 × 340,367.06
  4. Step 4: Simplify right side
    155,356.31x = 115,849,737,234.88
  5. Step 5: Solve for x
    x = 115,849,737,234.88/155,356.31
  6. Step 6: Final answer
    x = 745,703.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.