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Finding the Third Proportional to 410,307.75 and 649,185.75

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Solution

The third proportional to 410,307.75 and 649,185.75 is: 1,027,136.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,307.75 : 649,185.75 = 649,185.75 : x
  2. Step 2: Convert to fraction form
    410,307.75/649,185.75 = 649,185.75/x
  3. Step 3: Cross multiply
    410,307.75x = 649,185.75 × 649,185.75
  4. Step 4: Simplify right side
    410,307.75x = 421,442,138,003.06
  5. Step 5: Solve for x
    x = 421,442,138,003.06/410,307.75
  6. Step 6: Final answer
    x = 1,027,136.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.