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Finding the Third Proportional to 143,093 and 310,770

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Solution

The third proportional to 143,093 and 310,770 is: 674,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,093 : 310,770 = 310,770 : x
  2. Step 2: Convert to fraction form
    143,093/310,770 = 310,770/x
  3. Step 3: Cross multiply
    143,093x = 310,770 × 310,770
  4. Step 4: Simplify right side
    143,093x = 96,577,992,900
  5. Step 5: Solve for x
    x = 96,577,992,900/143,093
  6. Step 6: Final answer
    x = 674,931.64

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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.