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Finding the Third Proportional to 299,867.81 and 620,956.36

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Solution

The third proportional to 299,867.81 and 620,956.36 is: 1,285,855.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,867.81 : 620,956.36 = 620,956.36 : x
  2. Step 2: Convert to fraction form
    299,867.81/620,956.36 = 620,956.36/x
  3. Step 3: Cross multiply
    299,867.81x = 620,956.36 × 620,956.36
  4. Step 4: Simplify right side
    299,867.81x = 385,586,803,886.69
  5. Step 5: Solve for x
    x = 385,586,803,886.69/299,867.81
  6. Step 6: Final answer
    x = 1,285,855.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.