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Finding the Third Proportional to 289,323 and 444,980

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Solution

The third proportional to 289,323 and 444,980 is: 684,381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,323 : 444,980 = 444,980 : x
  2. Step 2: Convert to fraction form
    289,323/444,980 = 444,980/x
  3. Step 3: Cross multiply
    289,323x = 444,980 × 444,980
  4. Step 4: Simplify right side
    289,323x = 198,007,200,400
  5. Step 5: Solve for x
    x = 198,007,200,400/289,323
  6. Step 6: Final answer
    x = 684,381.13

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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.