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Finding the Third Proportional to 39,748 and 84,228

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Solution

The third proportional to 39,748 and 84,228 is: 178,483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,748 : 84,228 = 84,228 : x
  2. Step 2: Convert to fraction form
    39,748/84,228 = 84,228/x
  3. Step 3: Cross multiply
    39,748x = 84,228 × 84,228
  4. Step 4: Simplify right side
    39,748x = 7,094,355,984
  5. Step 5: Solve for x
    x = 7,094,355,984/39,748
  6. Step 6: Final answer
    x = 178,483.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.