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Finding the Third Proportional to 398,000 and 819,360

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Solution

The third proportional to 398,000 and 819,360 is: 1,686,811.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,000 : 819,360 = 819,360 : x
  2. Step 2: Convert to fraction form
    398,000/819,360 = 819,360/x
  3. Step 3: Cross multiply
    398,000x = 819,360 × 819,360
  4. Step 4: Simplify right side
    398,000x = 671,350,809,600
  5. Step 5: Solve for x
    x = 671,350,809,600/398,000
  6. Step 6: Final answer
    x = 1,686,811.08

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.