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Finding the Third Proportional to 319,864.78 and 689,301.56

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Solution

The third proportional to 319,864.78 and 689,301.56 is: 1,485,429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,864.78 : 689,301.56 = 689,301.56 : x
  2. Step 2: Convert to fraction form
    319,864.78/689,301.56 = 689,301.56/x
  3. Step 3: Cross multiply
    319,864.78x = 689,301.56 × 689,301.56
  4. Step 4: Simplify right side
    319,864.78x = 475,136,644,064.94
  5. Step 5: Solve for x
    x = 475,136,644,064.94/319,864.78
  6. Step 6: Final answer
    x = 1,485,429.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.