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Finding the Third Proportional to 281,968 and 610,400

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Solution

The third proportional to 281,968 and 610,400 is: 1,321,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,968 : 610,400 = 610,400 : x
  2. Step 2: Convert to fraction form
    281,968/610,400 = 610,400/x
  3. Step 3: Cross multiply
    281,968x = 610,400 × 610,400
  4. Step 4: Simplify right side
    281,968x = 372,588,160,000
  5. Step 5: Solve for x
    x = 372,588,160,000/281,968
  6. Step 6: Final answer
    x = 1,321,384.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.