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Finding the Third Proportional to 143,080 and 310,761

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Solution

The third proportional to 143,080 and 310,761 is: 674,953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,080 : 310,761 = 310,761 : x
  2. Step 2: Convert to fraction form
    143,080/310,761 = 310,761/x
  3. Step 3: Cross multiply
    143,080x = 310,761 × 310,761
  4. Step 4: Simplify right side
    143,080x = 96,572,399,121
  5. Step 5: Solve for x
    x = 96,572,399,121/143,080
  6. Step 6: Final answer
    x = 674,953.87

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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.