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Finding the Third Proportional to 321,026 and 695,551

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Solution

The third proportional to 321,026 and 695,551 is: 1,507,015.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,026 : 695,551 = 695,551 : x
  2. Step 2: Convert to fraction form
    321,026/695,551 = 695,551/x
  3. Step 3: Cross multiply
    321,026x = 695,551 × 695,551
  4. Step 4: Simplify right side
    321,026x = 483,791,193,601
  5. Step 5: Solve for x
    x = 483,791,193,601/321,026
  6. Step 6: Final answer
    x = 1,507,015.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.