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Finding the Third Proportional to 91,030 and 137,817

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Solution

The third proportional to 91,030 and 137,817 is: 208,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,030 : 137,817 = 137,817 : x
  2. Step 2: Convert to fraction form
    91,030/137,817 = 137,817/x
  3. Step 3: Cross multiply
    91,030x = 137,817 × 137,817
  4. Step 4: Simplify right side
    91,030x = 18,993,525,489
  5. Step 5: Solve for x
    x = 18,993,525,489/91,030
  6. Step 6: Final answer
    x = 208,651.27

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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.