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Finding the Third Proportional to 319,981 and 685,502

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Solution

The third proportional to 319,981 and 685,502 is: 1,468,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,981 : 685,502 = 685,502 : x
  2. Step 2: Convert to fraction form
    319,981/685,502 = 685,502/x
  3. Step 3: Cross multiply
    319,981x = 685,502 × 685,502
  4. Step 4: Simplify right side
    319,981x = 469,912,992,004
  5. Step 5: Solve for x
    x = 469,912,992,004/319,981
  6. Step 6: Final answer
    x = 1,468,565.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.