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Finding the Third Proportional to 215,433 and 340,971

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Solution

The third proportional to 215,433 and 340,971 is: 539,663.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,433 : 340,971 = 340,971 : x
  2. Step 2: Convert to fraction form
    215,433/340,971 = 340,971/x
  3. Step 3: Cross multiply
    215,433x = 340,971 × 340,971
  4. Step 4: Simplify right side
    215,433x = 116,261,222,841
  5. Step 5: Solve for x
    x = 116,261,222,841/215,433
  6. Step 6: Final answer
    x = 539,663.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.