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Finding the Third Proportional to 142,884.84 and 310,393.69

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Solution

The third proportional to 142,884.84 and 310,393.69 is: 674,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,884.84 : 310,393.69 = 310,393.69 : x
  2. Step 2: Convert to fraction form
    142,884.84/310,393.69 = 310,393.69/x
  3. Step 3: Cross multiply
    142,884.84x = 310,393.69 × 310,393.69
  4. Step 4: Simplify right side
    142,884.84x = 96,344,241,239.85
  5. Step 5: Solve for x
    x = 96,344,241,239.85/142,884.84
  6. Step 6: Final answer
    x = 674,278.94

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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.