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Finding the Third Proportional to 53,025 and 114,353

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Solution

The third proportional to 53,025 and 114,353 is: 246,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,025 : 114,353 = 114,353 : x
  2. Step 2: Convert to fraction form
    53,025/114,353 = 114,353/x
  3. Step 3: Cross multiply
    53,025x = 114,353 × 114,353
  4. Step 4: Simplify right side
    53,025x = 13,076,608,609
  5. Step 5: Solve for x
    x = 13,076,608,609/53,025
  6. Step 6: Final answer
    x = 246,612.14

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Why These Related Problems?

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