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Finding the Third Proportional to 289,318 and 444,972

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Solution

The third proportional to 289,318 and 444,972 is: 684,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,318 : 444,972 = 444,972 : x
  2. Step 2: Convert to fraction form
    289,318/444,972 = 444,972/x
  3. Step 3: Cross multiply
    289,318x = 444,972 × 444,972
  4. Step 4: Simplify right side
    289,318x = 198,000,080,784
  5. Step 5: Solve for x
    x = 198,000,080,784/289,318
  6. Step 6: Final answer
    x = 684,368.34

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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.