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Finding the Third Proportional to 281,538 and 414,840

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Solution

The third proportional to 281,538 and 414,840 is: 611,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,538 : 414,840 = 414,840 : x
  2. Step 2: Convert to fraction form
    281,538/414,840 = 414,840/x
  3. Step 3: Cross multiply
    281,538x = 414,840 × 414,840
  4. Step 4: Simplify right side
    281,538x = 172,092,225,600
  5. Step 5: Solve for x
    x = 172,092,225,600/281,538
  6. Step 6: Final answer
    x = 611,257.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.