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Finding the Third Proportional to 30,120 and 45,180

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Solution

The third proportional to 30,120 and 45,180 is: 67,770

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,120 : 45,180 = 45,180 : x
  2. Step 2: Convert to fraction form
    30,120/45,180 = 45,180/x
  3. Step 3: Cross multiply
    30,120x = 45,180 × 45,180
  4. Step 4: Simplify right side
    30,120x = 2,041,232,400
  5. Step 5: Solve for x
    x = 2,041,232,400/30,120
  6. Step 6: Final answer
    x = 67,770

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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.