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Finding the Third Proportional to 255,948 and 398,418

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Solution

The third proportional to 255,948 and 398,418 is: 620,192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,948 : 398,418 = 398,418 : x
  2. Step 2: Convert to fraction form
    255,948/398,418 = 398,418/x
  3. Step 3: Cross multiply
    255,948x = 398,418 × 398,418
  4. Step 4: Simplify right side
    255,948x = 158,736,902,724
  5. Step 5: Solve for x
    x = 158,736,902,724/255,948
  6. Step 6: Final answer
    x = 620,192.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.