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Finding the Third Proportional to 155,764.90 and 340,359.47

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Solution

The third proportional to 155,764.90 and 340,359.47 is: 743,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,764.90 : 340,359.47 = 340,359.47 : x
  2. Step 2: Convert to fraction form
    155,764.90/340,359.47 = 340,359.47/x
  3. Step 3: Cross multiply
    155,764.90x = 340,359.47 × 340,359.47
  4. Step 4: Simplify right side
    155,764.90x = 115,844,567,967.78
  5. Step 5: Solve for x
    x = 115,844,567,967.78/155,764.90
  6. Step 6: Final answer
    x = 743,714.21

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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.