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Finding the Third Proportional to 56,808 and 121,840

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Solution

The third proportional to 56,808 and 121,840 is: 261,318.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,808 : 121,840 = 121,840 : x
  2. Step 2: Convert to fraction form
    56,808/121,840 = 121,840/x
  3. Step 3: Cross multiply
    56,808x = 121,840 × 121,840
  4. Step 4: Simplify right side
    56,808x = 14,844,985,600
  5. Step 5: Solve for x
    x = 14,844,985,600/56,808
  6. Step 6: Final answer
    x = 261,318.57

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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.