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Finding the Third Proportional to 30,480 and 46,620

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Solution

The third proportional to 30,480 and 46,620 is: 71,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,480 : 46,620 = 46,620 : x
  2. Step 2: Convert to fraction form
    30,480/46,620 = 46,620/x
  3. Step 3: Cross multiply
    30,480x = 46,620 × 46,620
  4. Step 4: Simplify right side
    30,480x = 2,173,424,400
  5. Step 5: Solve for x
    x = 2,173,424,400/30,480
  6. Step 6: Final answer
    x = 71,306.57

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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.