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Finding the Third Proportional to 39,688 and 54,420

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Solution

The third proportional to 39,688 and 54,420 is: 74,620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,688 : 54,420 = 54,420 : x
  2. Step 2: Convert to fraction form
    39,688/54,420 = 54,420/x
  3. Step 3: Cross multiply
    39,688x = 54,420 × 54,420
  4. Step 4: Simplify right side
    39,688x = 2,961,536,400
  5. Step 5: Solve for x
    x = 2,961,536,400/39,688
  6. Step 6: Final answer
    x = 74,620.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.