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Finding the Third Proportional to 289,230 and 444,840

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Solution

The third proportional to 289,230 and 444,840 is: 684,170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,230 : 444,840 = 444,840 : x
  2. Step 2: Convert to fraction form
    289,230/444,840 = 444,840/x
  3. Step 3: Cross multiply
    289,230x = 444,840 × 444,840
  4. Step 4: Simplify right side
    289,230x = 197,882,625,600
  5. Step 5: Solve for x
    x = 197,882,625,600/289,230
  6. Step 6: Final answer
    x = 684,170.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.