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Finding the Third Proportional to 291,071.25 and 628,069.50

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Solution

The third proportional to 291,071.25 and 628,069.50 is: 1,355,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,071.25 : 628,069.50 = 628,069.50 : x
  2. Step 2: Convert to fraction form
    291,071.25/628,069.50 = 628,069.50/x
  3. Step 3: Cross multiply
    291,071.25x = 628,069.50 × 628,069.50
  4. Step 4: Simplify right side
    291,071.25x = 394,471,296,830.25
  5. Step 5: Solve for x
    x = 394,471,296,830.25/291,071.25
  6. Step 6: Final answer
    x = 1,355,239.64

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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.