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Finding the Third Proportional to 77,798 and 85,818

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Solution

The third proportional to 77,798 and 85,818 is: 94,664.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,798 : 85,818 = 85,818 : x
  2. Step 2: Convert to fraction form
    77,798/85,818 = 85,818/x
  3. Step 3: Cross multiply
    77,798x = 85,818 × 85,818
  4. Step 4: Simplify right side
    77,798x = 7,364,729,124
  5. Step 5: Solve for x
    x = 7,364,729,124/77,798
  6. Step 6: Final answer
    x = 94,664.76

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.