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Finding the Third Proportional to 147,454 and 319,873

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Solution

The third proportional to 147,454 and 319,873 is: 693,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,454 : 319,873 = 319,873 : x
  2. Step 2: Convert to fraction form
    147,454/319,873 = 319,873/x
  3. Step 3: Cross multiply
    147,454x = 319,873 × 319,873
  4. Step 4: Simplify right side
    147,454x = 102,318,736,129
  5. Step 5: Solve for x
    x = 102,318,736,129/147,454
  6. Step 6: Final answer
    x = 693,902.75

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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.