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Finding the Third Proportional to 142,814 and 310,208

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Solution

The third proportional to 142,814 and 310,208 is: 673,806.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,814 : 310,208 = 310,208 : x
  2. Step 2: Convert to fraction form
    142,814/310,208 = 310,208/x
  3. Step 3: Cross multiply
    142,814x = 310,208 × 310,208
  4. Step 4: Simplify right side
    142,814x = 96,229,003,264
  5. Step 5: Solve for x
    x = 96,229,003,264/142,814
  6. Step 6: Final answer
    x = 673,806.51

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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.