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Finding the Third Proportional to 142,908 and 319,647

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Solution

The third proportional to 142,908 and 319,647 is: 714,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,908 : 319,647 = 319,647 : x
  2. Step 2: Convert to fraction form
    142,908/319,647 = 319,647/x
  3. Step 3: Cross multiply
    142,908x = 319,647 × 319,647
  4. Step 4: Simplify right side
    142,908x = 102,174,204,609
  5. Step 5: Solve for x
    x = 102,174,204,609/142,908
  6. Step 6: Final answer
    x = 714,964.90

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.