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Finding the Third Proportional to 303,520 and 456,252

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Solution

The third proportional to 303,520 and 456,252 is: 685,839.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,520 : 456,252 = 456,252 : x
  2. Step 2: Convert to fraction form
    303,520/456,252 = 456,252/x
  3. Step 3: Cross multiply
    303,520x = 456,252 × 456,252
  4. Step 4: Simplify right side
    303,520x = 208,165,887,504
  5. Step 5: Solve for x
    x = 208,165,887,504/303,520
  6. Step 6: Final answer
    x = 685,839.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.