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Finding the Third Proportional to 30,310 and 62,928

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Solution

The third proportional to 30,310 and 62,928 is: 130,647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,310 : 62,928 = 62,928 : x
  2. Step 2: Convert to fraction form
    30,310/62,928 = 62,928/x
  3. Step 3: Cross multiply
    30,310x = 62,928 × 62,928
  4. Step 4: Simplify right side
    30,310x = 3,959,933,184
  5. Step 5: Solve for x
    x = 3,959,933,184/30,310
  6. Step 6: Final answer
    x = 130,647.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.