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Finding the Third Proportional to 238,416 and 521,121

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Solution

The third proportional to 238,416 and 521,121 is: 1,139,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,416 : 521,121 = 521,121 : x
  2. Step 2: Convert to fraction form
    238,416/521,121 = 521,121/x
  3. Step 3: Cross multiply
    238,416x = 521,121 × 521,121
  4. Step 4: Simplify right side
    238,416x = 271,567,096,641
  5. Step 5: Solve for x
    x = 271,567,096,641/238,416
  6. Step 6: Final answer
    x = 1,139,047.28

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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.