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Finding the Third Proportional to 30,420 and 45,186

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Solution

The third proportional to 30,420 and 45,186 is: 67,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,420 : 45,186 = 45,186 : x
  2. Step 2: Convert to fraction form
    30,420/45,186 = 45,186/x
  3. Step 3: Cross multiply
    30,420x = 45,186 × 45,186
  4. Step 4: Simplify right side
    30,420x = 2,041,774,596
  5. Step 5: Solve for x
    x = 2,041,774,596/30,420
  6. Step 6: Final answer
    x = 67,119.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.