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Finding the Third Proportional to 53,101 and 82,878

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Solution

The third proportional to 53,101 and 82,878 is: 129,352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,101 : 82,878 = 82,878 : x
  2. Step 2: Convert to fraction form
    53,101/82,878 = 82,878/x
  3. Step 3: Cross multiply
    53,101x = 82,878 × 82,878
  4. Step 4: Simplify right side
    53,101x = 6,868,762,884
  5. Step 5: Solve for x
    x = 6,868,762,884/53,101
  6. Step 6: Final answer
    x = 129,352.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.