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Finding the Third Proportional to 180,034 and 290,001

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Solution

The third proportional to 180,034 and 290,001 is: 467,137.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,034 : 290,001 = 290,001 : x
  2. Step 2: Convert to fraction form
    180,034/290,001 = 290,001/x
  3. Step 3: Cross multiply
    180,034x = 290,001 × 290,001
  4. Step 4: Simplify right side
    180,034x = 84,100,580,001
  5. Step 5: Solve for x
    x = 84,100,580,001/180,034
  6. Step 6: Final answer
    x = 467,137.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.