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Finding the Third Proportional to 398,179 and 859,699

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Solution

The third proportional to 398,179 and 859,699 is: 1,856,156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,179 : 859,699 = 859,699 : x
  2. Step 2: Convert to fraction form
    398,179/859,699 = 859,699/x
  3. Step 3: Cross multiply
    398,179x = 859,699 × 859,699
  4. Step 4: Simplify right side
    398,179x = 739,082,370,601
  5. Step 5: Solve for x
    x = 739,082,370,601/398,179
  6. Step 6: Final answer
    x = 1,856,156.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.