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Finding the Third Proportional to 53,820 and 83,622

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Solution

The third proportional to 53,820 and 83,622 is: 129,926.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,820 : 83,622 = 83,622 : x
  2. Step 2: Convert to fraction form
    53,820/83,622 = 83,622/x
  3. Step 3: Cross multiply
    53,820x = 83,622 × 83,622
  4. Step 4: Simplify right side
    53,820x = 6,992,638,884
  5. Step 5: Solve for x
    x = 6,992,638,884/53,820
  6. Step 6: Final answer
    x = 129,926.40

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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.