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Finding the Third Proportional to 30,640 and 46,972

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Solution

The third proportional to 30,640 and 46,972 is: 72,009.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,640 : 46,972 = 46,972 : x
  2. Step 2: Convert to fraction form
    30,640/46,972 = 46,972/x
  3. Step 3: Cross multiply
    30,640x = 46,972 × 46,972
  4. Step 4: Simplify right side
    30,640x = 2,206,368,784
  5. Step 5: Solve for x
    x = 2,206,368,784/30,640
  6. Step 6: Final answer
    x = 72,009.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.