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Finding the Third Proportional to 871,247 and 1,320,006

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Solution

The third proportional to 871,247 and 1,320,006 is: 1,999,910.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,247 : 1,320,006 = 1,320,006 : x
  2. Step 2: Convert to fraction form
    871,247/1,320,006 = 1,320,006/x
  3. Step 3: Cross multiply
    871,247x = 1,320,006 × 1,320,006
  4. Step 4: Simplify right side
    871,247x = 1,742,415,840,036
  5. Step 5: Solve for x
    x = 1,742,415,840,036/871,247
  6. Step 6: Final answer
    x = 1,999,910.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.