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Finding the Third Proportional to 30,897 and 45,181

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Solution

The third proportional to 30,897 and 45,181 is: 66,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897 : 45,181 = 45,181 : x
  2. Step 2: Convert to fraction form
    30,897/45,181 = 45,181/x
  3. Step 3: Cross multiply
    30,897x = 45,181 × 45,181
  4. Step 4: Simplify right side
    30,897x = 2,041,322,761
  5. Step 5: Solve for x
    x = 2,041,322,761/30,897
  6. Step 6: Final answer
    x = 66,068.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.