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Finding the Third Proportional to 319,619 and 710,180

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Solution

The third proportional to 319,619 and 710,180 is: 1,577,990.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,619 : 710,180 = 710,180 : x
  2. Step 2: Convert to fraction form
    319,619/710,180 = 710,180/x
  3. Step 3: Cross multiply
    319,619x = 710,180 × 710,180
  4. Step 4: Simplify right side
    319,619x = 504,355,632,400
  5. Step 5: Solve for x
    x = 504,355,632,400/319,619
  6. Step 6: Final answer
    x = 1,577,990.15

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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.