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Finding the Third Proportional to 152,617 and 319,174

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Solution

The third proportional to 152,617 and 319,174 is: 667,501.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,617 : 319,174 = 319,174 : x
  2. Step 2: Convert to fraction form
    152,617/319,174 = 319,174/x
  3. Step 3: Cross multiply
    152,617x = 319,174 × 319,174
  4. Step 4: Simplify right side
    152,617x = 101,872,042,276
  5. Step 5: Solve for x
    x = 101,872,042,276/152,617
  6. Step 6: Final answer
    x = 667,501.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.