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Finding the Third Proportional to 395,460 and 612,848

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Solution

The third proportional to 395,460 and 612,848 is: 949,736.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,460 : 612,848 = 612,848 : x
  2. Step 2: Convert to fraction form
    395,460/612,848 = 612,848/x
  3. Step 3: Cross multiply
    395,460x = 612,848 × 612,848
  4. Step 4: Simplify right side
    395,460x = 375,582,671,104
  5. Step 5: Solve for x
    x = 375,582,671,104/395,460
  6. Step 6: Final answer
    x = 949,736.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.