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Finding the Third Proportional to 303,445 and 455,945

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Solution

The third proportional to 303,445 and 455,945 is: 685,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,445 : 455,945 = 455,945 : x
  2. Step 2: Convert to fraction form
    303,445/455,945 = 455,945/x
  3. Step 3: Cross multiply
    303,445x = 455,945 × 455,945
  4. Step 4: Simplify right side
    303,445x = 207,885,843,025
  5. Step 5: Solve for x
    x = 207,885,843,025/303,445
  6. Step 6: Final answer
    x = 685,085.74

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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.