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Finding the Third Proportional to 30,291 and 45,983

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Solution

The third proportional to 30,291 and 45,983 is: 69,804.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291 : 45,983 = 45,983 : x
  2. Step 2: Convert to fraction form
    30,291/45,983 = 45,983/x
  3. Step 3: Cross multiply
    30,291x = 45,983 × 45,983
  4. Step 4: Simplify right side
    30,291x = 2,114,436,289
  5. Step 5: Solve for x
    x = 2,114,436,289/30,291
  6. Step 6: Final answer
    x = 69,804.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.