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Finding the Third Proportional to 155,601 and 340,503.75

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Solution

The third proportional to 155,601 and 340,503.75 is: 745,128.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,601 : 340,503.75 = 340,503.75 : x
  2. Step 2: Convert to fraction form
    155,601/340,503.75 = 340,503.75/x
  3. Step 3: Cross multiply
    155,601x = 340,503.75 × 340,503.75
  4. Step 4: Simplify right side
    155,601x = 115,942,803,764.06
  5. Step 5: Solve for x
    x = 115,942,803,764.06/155,601
  6. Step 6: Final answer
    x = 745,128.91

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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.