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Finding the Third Proportional to 157,782.09 and 342,314.44

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Solution

The third proportional to 157,782.09 and 342,314.44 is: 742,664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,782.09 : 342,314.44 = 342,314.44 : x
  2. Step 2: Convert to fraction form
    157,782.09/342,314.44 = 342,314.44/x
  3. Step 3: Cross multiply
    157,782.09x = 342,314.44 × 342,314.44
  4. Step 4: Simplify right side
    157,782.09x = 117,179,174,120.94
  5. Step 5: Solve for x
    x = 117,179,174,120.94/157,782.09
  6. Step 6: Final answer
    x = 742,664.59

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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.