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Finding the Third Proportional to 53,258 and 82,806

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Solution

The third proportional to 53,258 and 82,806 is: 128,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,258 : 82,806 = 82,806 : x
  2. Step 2: Convert to fraction form
    53,258/82,806 = 82,806/x
  3. Step 3: Cross multiply
    53,258x = 82,806 × 82,806
  4. Step 4: Simplify right side
    53,258x = 6,856,833,636
  5. Step 5: Solve for x
    x = 6,856,833,636/53,258
  6. Step 6: Final answer
    x = 128,747.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.