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Finding the Third Proportional to 513,612.75 and 739,805.25

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Solution

The third proportional to 513,612.75 and 739,805.25 is: 1,065,611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,612.75 : 739,805.25 = 739,805.25 : x
  2. Step 2: Convert to fraction form
    513,612.75/739,805.25 = 739,805.25/x
  3. Step 3: Cross multiply
    513,612.75x = 739,805.25 × 739,805.25
  4. Step 4: Simplify right side
    513,612.75x = 547,311,807,927.56
  5. Step 5: Solve for x
    x = 547,311,807,927.56/513,612.75
  6. Step 6: Final answer
    x = 1,065,611.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.