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Finding the Third Proportional to 56,938 and 121,286

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Solution

The third proportional to 56,938 and 121,286 is: 258,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,938 : 121,286 = 121,286 : x
  2. Step 2: Convert to fraction form
    56,938/121,286 = 121,286/x
  3. Step 3: Cross multiply
    56,938x = 121,286 × 121,286
  4. Step 4: Simplify right side
    56,938x = 14,710,293,796
  5. Step 5: Solve for x
    x = 14,710,293,796/56,938
  6. Step 6: Final answer
    x = 258,356.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.