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Finding the Third Proportional to 142,022.11 and 310,770.42

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Solution

The third proportional to 142,022.11 and 310,770.42 is: 680,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,022.11 : 310,770.42 = 310,770.42 : x
  2. Step 2: Convert to fraction form
    142,022.11/310,770.42 = 310,770.42/x
  3. Step 3: Cross multiply
    142,022.11x = 310,770.42 × 310,770.42
  4. Step 4: Simplify right side
    142,022.11x = 96,578,255,112.37
  5. Step 5: Solve for x
    x = 96,578,255,112.37/142,022.11
  6. Step 6: Final answer
    x = 680,022.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.