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Finding the Third Proportional to 303,207 and 505,303.50

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Solution

The third proportional to 303,207 and 505,303.50 is: 842,103.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,207 : 505,303.50 = 505,303.50 : x
  2. Step 2: Convert to fraction form
    303,207/505,303.50 = 505,303.50/x
  3. Step 3: Cross multiply
    303,207x = 505,303.50 × 505,303.50
  4. Step 4: Simplify right side
    303,207x = 255,331,627,112.25
  5. Step 5: Solve for x
    x = 255,331,627,112.25/303,207
  6. Step 6: Final answer
    x = 842,103.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.