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Finding the Third Proportional to 30,739.50 and 62,607

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Solution

The third proportional to 30,739.50 and 62,607 is: 127,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,739.50 : 62,607 = 62,607 : x
  2. Step 2: Convert to fraction form
    30,739.50/62,607 = 62,607/x
  3. Step 3: Cross multiply
    30,739.50x = 62,607 × 62,607
  4. Step 4: Simplify right side
    30,739.50x = 3,919,636,449
  5. Step 5: Solve for x
    x = 3,919,636,449/30,739.50
  6. Step 6: Final answer
    x = 127,511.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.