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Finding the Third Proportional to 306,225.56 and 666,442.69

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Solution

The third proportional to 306,225.56 and 666,442.69 is: 1,450,387.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,225.56 : 666,442.69 = 666,442.69 : x
  2. Step 2: Convert to fraction form
    306,225.56/666,442.69 = 666,442.69/x
  3. Step 3: Cross multiply
    306,225.56x = 666,442.69 × 666,442.69
  4. Step 4: Simplify right side
    306,225.56x = 444,145,855,722.22
  5. Step 5: Solve for x
    x = 444,145,855,722.22/306,225.56
  6. Step 6: Final answer
    x = 1,450,387.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.