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Finding the Third Proportional to 265,680 and 398,808

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Solution

The third proportional to 265,680 and 398,808 is: 598,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,680 : 398,808 = 398,808 : x
  2. Step 2: Convert to fraction form
    265,680/398,808 = 398,808/x
  3. Step 3: Cross multiply
    265,680x = 398,808 × 398,808
  4. Step 4: Simplify right side
    265,680x = 159,047,820,864
  5. Step 5: Solve for x
    x = 159,047,820,864/265,680
  6. Step 6: Final answer
    x = 598,644.31

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