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Finding the Third Proportional to 854,145 and 1,286,805

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Solution

The third proportional to 854,145 and 1,286,805 is: 1,938,625.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,145 : 1,286,805 = 1,286,805 : x
  2. Step 2: Convert to fraction form
    854,145/1,286,805 = 1,286,805/x
  3. Step 3: Cross multiply
    854,145x = 1,286,805 × 1,286,805
  4. Step 4: Simplify right side
    854,145x = 1,655,867,108,025
  5. Step 5: Solve for x
    x = 1,655,867,108,025/854,145
  6. Step 6: Final answer
    x = 1,938,625.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.