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Finding the Third Proportional to 155,660 and 344,088

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Solution

The third proportional to 155,660 and 344,088 is: 760,609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,660 : 344,088 = 344,088 : x
  2. Step 2: Convert to fraction form
    155,660/344,088 = 344,088/x
  3. Step 3: Cross multiply
    155,660x = 344,088 × 344,088
  4. Step 4: Simplify right side
    155,660x = 118,396,551,744
  5. Step 5: Solve for x
    x = 118,396,551,744/155,660
  6. Step 6: Final answer
    x = 760,609.99

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.