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Finding the Third Proportional to 547,430 and 871,728

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Solution

The third proportional to 547,430 and 871,728 is: 1,388,140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,430 : 871,728 = 871,728 : x
  2. Step 2: Convert to fraction form
    547,430/871,728 = 871,728/x
  3. Step 3: Cross multiply
    547,430x = 871,728 × 871,728
  4. Step 4: Simplify right side
    547,430x = 759,909,705,984
  5. Step 5: Solve for x
    x = 759,909,705,984/547,430
  6. Step 6: Final answer
    x = 1,388,140.41

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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.