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Finding the Third Proportional to 34,639 and 53,985

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Solution

The third proportional to 34,639 and 53,985 is: 84,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,639 : 53,985 = 53,985 : x
  2. Step 2: Convert to fraction form
    34,639/53,985 = 53,985/x
  3. Step 3: Cross multiply
    34,639x = 53,985 × 53,985
  4. Step 4: Simplify right side
    34,639x = 2,914,380,225
  5. Step 5: Solve for x
    x = 2,914,380,225/34,639
  6. Step 6: Final answer
    x = 84,135.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.