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Finding the Third Proportional to 54,445 and 81,985

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Solution

The third proportional to 54,445 and 81,985 is: 123,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,445 : 81,985 = 81,985 : x
  2. Step 2: Convert to fraction form
    54,445/81,985 = 81,985/x
  3. Step 3: Cross multiply
    54,445x = 81,985 × 81,985
  4. Step 4: Simplify right side
    54,445x = 6,721,540,225
  5. Step 5: Solve for x
    x = 6,721,540,225/54,445
  6. Step 6: Final answer
    x = 123,455.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.