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Finding the Third Proportional to 56,880 and 121,984

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Solution

The third proportional to 56,880 and 121,984 is: 261,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,880 : 121,984 = 121,984 : x
  2. Step 2: Convert to fraction form
    56,880/121,984 = 121,984/x
  3. Step 3: Cross multiply
    56,880x = 121,984 × 121,984
  4. Step 4: Simplify right side
    56,880x = 14,880,096,256
  5. Step 5: Solve for x
    x = 14,880,096,256/56,880
  6. Step 6: Final answer
    x = 261,605.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.