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Finding the Third Proportional to 303,578 and 452,905

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Solution

The third proportional to 303,578 and 452,905 is: 675,684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,578 : 452,905 = 452,905 : x
  2. Step 2: Convert to fraction form
    303,578/452,905 = 452,905/x
  3. Step 3: Cross multiply
    303,578x = 452,905 × 452,905
  4. Step 4: Simplify right side
    303,578x = 205,122,939,025
  5. Step 5: Solve for x
    x = 205,122,939,025/303,578
  6. Step 6: Final answer
    x = 675,684.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.