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Finding the Third Proportional to 236,783 and 333,052

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Solution

The third proportional to 236,783 and 333,052 is: 468,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,783 : 333,052 = 333,052 : x
  2. Step 2: Convert to fraction form
    236,783/333,052 = 333,052/x
  3. Step 3: Cross multiply
    236,783x = 333,052 × 333,052
  4. Step 4: Simplify right side
    236,783x = 110,923,634,704
  5. Step 5: Solve for x
    x = 110,923,634,704/236,783
  6. Step 6: Final answer
    x = 468,461.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.