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Finding the Third Proportional to 290,866.50 and 628,427.25

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Solution

The third proportional to 290,866.50 and 628,427.25 is: 1,357,739.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,866.50 : 628,427.25 = 628,427.25 : x
  2. Step 2: Convert to fraction form
    290,866.50/628,427.25 = 628,427.25/x
  3. Step 3: Cross multiply
    290,866.50x = 628,427.25 × 628,427.25
  4. Step 4: Simplify right side
    290,866.50x = 394,920,808,542.56
  5. Step 5: Solve for x
    x = 394,920,808,542.56/290,866.50
  6. Step 6: Final answer
    x = 1,357,739.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.