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Finding the Third Proportional to 51,910 and 113,594

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Solution

The third proportional to 51,910 and 113,594 is: 248,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,910 : 113,594 = 113,594 : x
  2. Step 2: Convert to fraction form
    51,910/113,594 = 113,594/x
  3. Step 3: Cross multiply
    51,910x = 113,594 × 113,594
  4. Step 4: Simplify right side
    51,910x = 12,903,596,836
  5. Step 5: Solve for x
    x = 12,903,596,836/51,910
  6. Step 6: Final answer
    x = 248,576.32

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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.