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Finding the Third Proportional to 860,128 and 1,366,223

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Solution

The third proportional to 860,128 and 1,366,223 is: 2,170,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,128 : 1,366,223 = 1,366,223 : x
  2. Step 2: Convert to fraction form
    860,128/1,366,223 = 1,366,223/x
  3. Step 3: Cross multiply
    860,128x = 1,366,223 × 1,366,223
  4. Step 4: Simplify right side
    860,128x = 1,866,565,285,729
  5. Step 5: Solve for x
    x = 1,866,565,285,729/860,128
  6. Step 6: Final answer
    x = 2,170,101.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.