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Finding the Third Proportional to 319,600 and 710,144

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Solution

The third proportional to 319,600 and 710,144 is: 1,577,923.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,600 : 710,144 = 710,144 : x
  2. Step 2: Convert to fraction form
    319,600/710,144 = 710,144/x
  3. Step 3: Cross multiply
    319,600x = 710,144 × 710,144
  4. Step 4: Simplify right side
    319,600x = 504,304,500,736
  5. Step 5: Solve for x
    x = 504,304,500,736/319,600
  6. Step 6: Final answer
    x = 1,577,923.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.