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Finding the Third Proportional to 290,117 and 450,161

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Solution

The third proportional to 290,117 and 450,161 is: 698,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,117 : 450,161 = 450,161 : x
  2. Step 2: Convert to fraction form
    290,117/450,161 = 450,161/x
  3. Step 3: Cross multiply
    290,117x = 450,161 × 450,161
  4. Step 4: Simplify right side
    290,117x = 202,644,925,921
  5. Step 5: Solve for x
    x = 202,644,925,921/290,117
  6. Step 6: Final answer
    x = 698,493.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.