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Finding the Third Proportional to 139,760 and 310,480

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Solution

The third proportional to 139,760 and 310,480 is: 689,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,760 : 310,480 = 310,480 : x
  2. Step 2: Convert to fraction form
    139,760/310,480 = 310,480/x
  3. Step 3: Cross multiply
    139,760x = 310,480 × 310,480
  4. Step 4: Simplify right side
    139,760x = 96,397,830,400
  5. Step 5: Solve for x
    x = 96,397,830,400/139,760
  6. Step 6: Final answer
    x = 689,738.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.