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Finding the Third Proportional to 142,990 and 310,880

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Solution

The third proportional to 142,990 and 310,880 is: 675,896.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,990 : 310,880 = 310,880 : x
  2. Step 2: Convert to fraction form
    142,990/310,880 = 310,880/x
  3. Step 3: Cross multiply
    142,990x = 310,880 × 310,880
  4. Step 4: Simplify right side
    142,990x = 96,646,374,400
  5. Step 5: Solve for x
    x = 96,646,374,400/142,990
  6. Step 6: Final answer
    x = 675,896.04

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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.