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Finding the Third Proportional to 321,115 and 705,791

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Solution

The third proportional to 321,115 and 705,791 is: 1,551,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,115 : 705,791 = 705,791 : x
  2. Step 2: Convert to fraction form
    321,115/705,791 = 705,791/x
  3. Step 3: Cross multiply
    321,115x = 705,791 × 705,791
  4. Step 4: Simplify right side
    321,115x = 498,140,935,681
  5. Step 5: Solve for x
    x = 498,140,935,681/321,115
  6. Step 6: Final answer
    x = 1,551,285.16

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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.