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Finding the Third Proportional to 30,640 and 45,960

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Solution

The third proportional to 30,640 and 45,960 is: 68,940

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,640 : 45,960 = 45,960 : x
  2. Step 2: Convert to fraction form
    30,640/45,960 = 45,960/x
  3. Step 3: Cross multiply
    30,640x = 45,960 × 45,960
  4. Step 4: Simplify right side
    30,640x = 2,112,321,600
  5. Step 5: Solve for x
    x = 2,112,321,600/30,640
  6. Step 6: Final answer
    x = 68,940

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.