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Finding the Third Proportional to 397,008 and 865,400

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Solution

The third proportional to 397,008 and 865,400 is: 1,886,403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,008 : 865,400 = 865,400 : x
  2. Step 2: Convert to fraction form
    397,008/865,400 = 865,400/x
  3. Step 3: Cross multiply
    397,008x = 865,400 × 865,400
  4. Step 4: Simplify right side
    397,008x = 748,917,160,000
  5. Step 5: Solve for x
    x = 748,917,160,000/397,008
  6. Step 6: Final answer
    x = 1,886,403.20

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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.