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Finding the Third Proportional to 18,935.63 and 39,829.88

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Solution

The third proportional to 18,935.63 and 39,829.88 is: 83,779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,935.63 : 39,829.88 = 39,829.88 : x
  2. Step 2: Convert to fraction form
    18,935.63/39,829.88 = 39,829.88/x
  3. Step 3: Cross multiply
    18,935.63x = 39,829.88 × 39,829.88
  4. Step 4: Simplify right side
    18,935.63x = 1,586,418,942.52
  5. Step 5: Solve for x
    x = 1,586,418,942.52/18,935.63
  6. Step 6: Final answer
    x = 83,779.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.