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Finding the Third Proportional to 238,841 and 521,971

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Solution

The third proportional to 238,841 and 521,971 is: 1,140,732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,841 : 521,971 = 521,971 : x
  2. Step 2: Convert to fraction form
    238,841/521,971 = 521,971/x
  3. Step 3: Cross multiply
    238,841x = 521,971 × 521,971
  4. Step 4: Simplify right side
    238,841x = 272,453,724,841
  5. Step 5: Solve for x
    x = 272,453,724,841/238,841
  6. Step 6: Final answer
    x = 1,140,732.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.