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Finding the Third Proportional to 57,769 and 85,804

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Solution

The third proportional to 57,769 and 85,804 is: 127,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,769 : 85,804 = 85,804 : x
  2. Step 2: Convert to fraction form
    57,769/85,804 = 85,804/x
  3. Step 3: Cross multiply
    57,769x = 85,804 × 85,804
  4. Step 4: Simplify right side
    57,769x = 7,362,326,416
  5. Step 5: Solve for x
    x = 7,362,326,416/57,769
  6. Step 6: Final answer
    x = 127,444.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.