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Finding the Third Proportional to 56,606 and 121,972

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Solution

The third proportional to 56,606 and 121,972 is: 262,819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,606 : 121,972 = 121,972 : x
  2. Step 2: Convert to fraction form
    56,606/121,972 = 121,972/x
  3. Step 3: Cross multiply
    56,606x = 121,972 × 121,972
  4. Step 4: Simplify right side
    56,606x = 14,877,168,784
  5. Step 5: Solve for x
    x = 14,877,168,784/56,606
  6. Step 6: Final answer
    x = 262,819.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.