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Finding the Third Proportional to 30,808 and 45,940

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Solution

The third proportional to 30,808 and 45,940 is: 68,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,808 : 45,940 = 45,940 : x
  2. Step 2: Convert to fraction form
    30,808/45,940 = 45,940/x
  3. Step 3: Cross multiply
    30,808x = 45,940 × 45,940
  4. Step 4: Simplify right side
    30,808x = 2,110,483,600
  5. Step 5: Solve for x
    x = 2,110,483,600/30,808
  6. Step 6: Final answer
    x = 68,504.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.