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Finding the Third Proportional to 289,326 and 444,985

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Solution

The third proportional to 289,326 and 444,985 is: 684,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,326 : 444,985 = 444,985 : x
  2. Step 2: Convert to fraction form
    289,326/444,985 = 444,985/x
  3. Step 3: Cross multiply
    289,326x = 444,985 × 444,985
  4. Step 4: Simplify right side
    289,326x = 198,011,650,225
  5. Step 5: Solve for x
    x = 198,011,650,225/289,326
  6. Step 6: Final answer
    x = 684,389.41

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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.