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Finding the Third Proportional to 30,420 and 40,690

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Solution

The third proportional to 30,420 and 40,690 is: 54,427.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,420 : 40,690 = 40,690 : x
  2. Step 2: Convert to fraction form
    30,420/40,690 = 40,690/x
  3. Step 3: Cross multiply
    30,420x = 40,690 × 40,690
  4. Step 4: Simplify right side
    30,420x = 1,655,676,100
  5. Step 5: Solve for x
    x = 1,655,676,100/30,420
  6. Step 6: Final answer
    x = 54,427.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.