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Finding the Third Proportional to 204,130 and 443,312.50

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Solution

The third proportional to 204,130 and 443,312.50 is: 962,749.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,130 : 443,312.50 = 443,312.50 : x
  2. Step 2: Convert to fraction form
    204,130/443,312.50 = 443,312.50/x
  3. Step 3: Cross multiply
    204,130x = 443,312.50 × 443,312.50
  4. Step 4: Simplify right side
    204,130x = 196,525,972,656.25
  5. Step 5: Solve for x
    x = 196,525,972,656.25/204,130
  6. Step 6: Final answer
    x = 962,749.09

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