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Finding the Third Proportional to 53,018 and 81,987

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Solution

The third proportional to 53,018 and 81,987 is: 126,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,018 : 81,987 = 81,987 : x
  2. Step 2: Convert to fraction form
    53,018/81,987 = 81,987/x
  3. Step 3: Cross multiply
    53,018x = 81,987 × 81,987
  4. Step 4: Simplify right side
    53,018x = 6,721,868,169
  5. Step 5: Solve for x
    x = 6,721,868,169/53,018
  6. Step 6: Final answer
    x = 126,784.64

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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.