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Finding the Third Proportional to 858,460 and 1,328,645

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Solution

The third proportional to 858,460 and 1,328,645 is: 2,056,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,460 : 1,328,645 = 1,328,645 : x
  2. Step 2: Convert to fraction form
    858,460/1,328,645 = 1,328,645/x
  3. Step 3: Cross multiply
    858,460x = 1,328,645 × 1,328,645
  4. Step 4: Simplify right side
    858,460x = 1,765,297,536,025
  5. Step 5: Solve for x
    x = 1,765,297,536,025/858,460
  6. Step 6: Final answer
    x = 2,056,353.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.