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Finding the Third Proportional to 398,292 and 859,971

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Solution

The third proportional to 398,292 and 859,971 is: 1,856,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,292 : 859,971 = 859,971 : x
  2. Step 2: Convert to fraction form
    398,292/859,971 = 859,971/x
  3. Step 3: Cross multiply
    398,292x = 859,971 × 859,971
  4. Step 4: Simplify right side
    398,292x = 739,550,120,841
  5. Step 5: Solve for x
    x = 739,550,120,841/398,292
  6. Step 6: Final answer
    x = 1,856,803.85

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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.