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Finding the Third Proportional to 398,152 and 866,288

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Solution

The third proportional to 398,152 and 866,288 is: 1,884,845.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,152 : 866,288 = 866,288 : x
  2. Step 2: Convert to fraction form
    398,152/866,288 = 866,288/x
  3. Step 3: Cross multiply
    398,152x = 866,288 × 866,288
  4. Step 4: Simplify right side
    398,152x = 750,454,898,944
  5. Step 5: Solve for x
    x = 750,454,898,944/398,152
  6. Step 6: Final answer
    x = 1,884,845.23

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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.