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Finding the Third Proportional to 30,492 and 45,820

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Solution

The third proportional to 30,492 and 45,820 is: 68,853.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492 : 45,820 = 45,820 : x
  2. Step 2: Convert to fraction form
    30,492/45,820 = 45,820/x
  3. Step 3: Cross multiply
    30,492x = 45,820 × 45,820
  4. Step 4: Simplify right side
    30,492x = 2,099,472,400
  5. Step 5: Solve for x
    x = 2,099,472,400/30,492
  6. Step 6: Final answer
    x = 68,853.22

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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.