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Finding the Third Proportional to 505,300.50 and 739,104

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Solution

The third proportional to 505,300.50 and 739,104 is: 1,081,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,300.50 : 739,104 = 739,104 : x
  2. Step 2: Convert to fraction form
    505,300.50/739,104 = 739,104/x
  3. Step 3: Cross multiply
    505,300.50x = 739,104 × 739,104
  4. Step 4: Simplify right side
    505,300.50x = 546,274,722,816
  5. Step 5: Solve for x
    x = 546,274,722,816/505,300.50
  6. Step 6: Final answer
    x = 1,081,088.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.