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Finding the Third Proportional to 265,560 and 398,628

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Solution

The third proportional to 265,560 and 398,628 is: 598,374.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,560 : 398,628 = 398,628 : x
  2. Step 2: Convert to fraction form
    265,560/398,628 = 398,628/x
  3. Step 3: Cross multiply
    265,560x = 398,628 × 398,628
  4. Step 4: Simplify right side
    265,560x = 158,904,282,384
  5. Step 5: Solve for x
    x = 158,904,282,384/265,560
  6. Step 6: Final answer
    x = 598,374.31

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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.