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Finding the Third Proportional to 142,888 and 311,173

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Solution

The third proportional to 142,888 and 311,173 is: 677,654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,888 : 311,173 = 311,173 : x
  2. Step 2: Convert to fraction form
    142,888/311,173 = 311,173/x
  3. Step 3: Cross multiply
    142,888x = 311,173 × 311,173
  4. Step 4: Simplify right side
    142,888x = 96,828,635,929
  5. Step 5: Solve for x
    x = 96,828,635,929/142,888
  6. Step 6: Final answer
    x = 677,654.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.