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Finding the Third Proportional to 481,333.50 and 748,325.25

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Solution

The third proportional to 481,333.50 and 748,325.25 is: 1,163,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,333.50 : 748,325.25 = 748,325.25 : x
  2. Step 2: Convert to fraction form
    481,333.50/748,325.25 = 748,325.25/x
  3. Step 3: Cross multiply
    481,333.50x = 748,325.25 × 748,325.25
  4. Step 4: Simplify right side
    481,333.50x = 559,990,679,787.56
  5. Step 5: Solve for x
    x = 559,990,679,787.56/481,333.50
  6. Step 6: Final answer
    x = 1,163,415.14

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Why These Related Problems?

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