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Finding the Third Proportional to 481,378 and 748,391

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Solution

The third proportional to 481,378 and 748,391 is: 1,163,512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,378 : 748,391 = 748,391 : x
  2. Step 2: Convert to fraction form
    481,378/748,391 = 748,391/x
  3. Step 3: Cross multiply
    481,378x = 748,391 × 748,391
  4. Step 4: Simplify right side
    481,378x = 560,089,088,881
  5. Step 5: Solve for x
    x = 560,089,088,881/481,378
  6. Step 6: Final answer
    x = 1,163,512.02

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