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Finding the Third Proportional to 52,321 and 113,025

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Solution

The third proportional to 52,321 and 113,025 is: 244,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,321 : 113,025 = 113,025 : x
  2. Step 2: Convert to fraction form
    52,321/113,025 = 113,025/x
  3. Step 3: Cross multiply
    52,321x = 113,025 × 113,025
  4. Step 4: Simplify right side
    52,321x = 12,774,650,625
  5. Step 5: Solve for x
    x = 12,774,650,625/52,321
  6. Step 6: Final answer
    x = 244,159.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.