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Finding the Third Proportional to 319,221 and 691,578

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Solution

The third proportional to 319,221 and 691,578 is: 1,498,272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,221 : 691,578 = 691,578 : x
  2. Step 2: Convert to fraction form
    319,221/691,578 = 691,578/x
  3. Step 3: Cross multiply
    319,221x = 691,578 × 691,578
  4. Step 4: Simplify right side
    319,221x = 478,280,130,084
  5. Step 5: Solve for x
    x = 478,280,130,084/319,221
  6. Step 6: Final answer
    x = 1,498,272.76

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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.