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Finding the Third Proportional to 398,188 and 866,360

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Solution

The third proportional to 398,188 and 866,360 is: 1,884,988.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,188 : 866,360 = 866,360 : x
  2. Step 2: Convert to fraction form
    398,188/866,360 = 866,360/x
  3. Step 3: Cross multiply
    398,188x = 866,360 × 866,360
  4. Step 4: Simplify right side
    398,188x = 750,579,649,600
  5. Step 5: Solve for x
    x = 750,579,649,600/398,188
  6. Step 6: Final answer
    x = 1,884,988.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.