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Finding the Third Proportional to 264,906 and 398,445

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Solution

The third proportional to 264,906 and 398,445 is: 599,300.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,906 : 398,445 = 398,445 : x
  2. Step 2: Convert to fraction form
    264,906/398,445 = 398,445/x
  3. Step 3: Cross multiply
    264,906x = 398,445 × 398,445
  4. Step 4: Simplify right side
    264,906x = 158,758,418,025
  5. Step 5: Solve for x
    x = 158,758,418,025/264,906
  6. Step 6: Final answer
    x = 599,300.95

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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.