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Finding the Third Proportional to 238,420 and 521,129

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Solution

The third proportional to 238,420 and 521,129 is: 1,139,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,420 : 521,129 = 521,129 : x
  2. Step 2: Convert to fraction form
    238,420/521,129 = 521,129/x
  3. Step 3: Cross multiply
    238,420x = 521,129 × 521,129
  4. Step 4: Simplify right side
    238,420x = 271,575,434,641
  5. Step 5: Solve for x
    x = 271,575,434,641/238,420
  6. Step 6: Final answer
    x = 1,139,063.14

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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.