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Finding the Third Proportional to 56,518 and 121,910

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Solution

The third proportional to 56,518 and 121,910 is: 262,961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,518 : 121,910 = 121,910 : x
  2. Step 2: Convert to fraction form
    56,518/121,910 = 121,910/x
  3. Step 3: Cross multiply
    56,518x = 121,910 × 121,910
  4. Step 4: Simplify right side
    56,518x = 14,862,048,100
  5. Step 5: Solve for x
    x = 14,862,048,100/56,518
  6. Step 6: Final answer
    x = 262,961.32

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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.