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Finding the Third Proportional to 289,444 and 445,160

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Solution

The third proportional to 289,444 and 445,160 is: 684,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,444 : 445,160 = 445,160 : x
  2. Step 2: Convert to fraction form
    289,444/445,160 = 445,160/x
  3. Step 3: Cross multiply
    289,444x = 445,160 × 445,160
  4. Step 4: Simplify right side
    289,444x = 198,167,425,600
  5. Step 5: Solve for x
    x = 198,167,425,600/289,444
  6. Step 6: Final answer
    x = 684,648.59

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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.