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Finding the Third Proportional to 321,777.56 and 706,568.06

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Solution

The third proportional to 321,777.56 and 706,568.06 is: 1,551,501.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,777.56 : 706,568.06 = 706,568.06 : x
  2. Step 2: Convert to fraction form
    321,777.56/706,568.06 = 706,568.06/x
  3. Step 3: Cross multiply
    321,777.56x = 706,568.06 × 706,568.06
  4. Step 4: Simplify right side
    321,777.56x = 499,238,426,945.00
  5. Step 5: Solve for x
    x = 499,238,426,945.00/321,777.56
  6. Step 6: Final answer
    x = 1,551,501.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.