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Finding the Third Proportional to 679,320 and 871,236

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Solution

The third proportional to 679,320 and 871,236 is: 1,117,370.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,320 : 871,236 = 871,236 : x
  2. Step 2: Convert to fraction form
    679,320/871,236 = 871,236/x
  3. Step 3: Cross multiply
    679,320x = 871,236 × 871,236
  4. Step 4: Simplify right side
    679,320x = 759,052,167,696
  5. Step 5: Solve for x
    x = 759,052,167,696/679,320
  6. Step 6: Final answer
    x = 1,117,370.56

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.