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Finding the Third Proportional to 303,783 and 460,204.50

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Solution

The third proportional to 303,783 and 460,204.50 is: 697,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,783 : 460,204.50 = 460,204.50 : x
  2. Step 2: Convert to fraction form
    303,783/460,204.50 = 460,204.50/x
  3. Step 3: Cross multiply
    303,783x = 460,204.50 × 460,204.50
  4. Step 4: Simplify right side
    303,783x = 211,788,181,820.25
  5. Step 5: Solve for x
    x = 211,788,181,820.25/303,783
  6. Step 6: Final answer
    x = 697,169.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.