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Finding the Third Proportional to 301,085.44 and 649,171.13

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Solution

The third proportional to 301,085.44 and 649,171.13 is: 1,399,679.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,085.44 : 649,171.13 = 649,171.13 : x
  2. Step 2: Convert to fraction form
    301,085.44/649,171.13 = 649,171.13/x
  3. Step 3: Cross multiply
    301,085.44x = 649,171.13 × 649,171.13
  4. Step 4: Simplify right side
    301,085.44x = 421,423,149,533.77
  5. Step 5: Solve for x
    x = 421,423,149,533.77/301,085.44
  6. Step 6: Final answer
    x = 1,399,679.62

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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.