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Finding the Third Proportional to 238,976 and 521,430

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Solution

The third proportional to 238,976 and 521,430 is: 1,137,726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,976 : 521,430 = 521,430 : x
  2. Step 2: Convert to fraction form
    238,976/521,430 = 521,430/x
  3. Step 3: Cross multiply
    238,976x = 521,430 × 521,430
  4. Step 4: Simplify right side
    238,976x = 271,889,244,900
  5. Step 5: Solve for x
    x = 271,889,244,900/238,976
  6. Step 6: Final answer
    x = 1,137,726.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.