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Finding the Third Proportional to 290,100 and 628,584

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Solution

The third proportional to 290,100 and 628,584 is: 1,362,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,100 : 628,584 = 628,584 : x
  2. Step 2: Convert to fraction form
    290,100/628,584 = 628,584/x
  3. Step 3: Cross multiply
    290,100x = 628,584 × 628,584
  4. Step 4: Simplify right side
    290,100x = 395,117,845,056
  5. Step 5: Solve for x
    x = 395,117,845,056/290,100
  6. Step 6: Final answer
    x = 1,362,005.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.