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Finding the Third Proportional to 53,905 and 84,818

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Solution

The third proportional to 53,905 and 84,818 is: 133,458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,905 : 84,818 = 84,818 : x
  2. Step 2: Convert to fraction form
    53,905/84,818 = 84,818/x
  3. Step 3: Cross multiply
    53,905x = 84,818 × 84,818
  4. Step 4: Simplify right side
    53,905x = 7,194,093,124
  5. Step 5: Solve for x
    x = 7,194,093,124/53,905
  6. Step 6: Final answer
    x = 133,458.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.