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Finding the Third Proportional to 53,955 and 81,685

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Solution

The third proportional to 53,955 and 81,685 is: 123,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,955 : 81,685 = 81,685 : x
  2. Step 2: Convert to fraction form
    53,955/81,685 = 81,685/x
  3. Step 3: Cross multiply
    53,955x = 81,685 × 81,685
  4. Step 4: Simplify right side
    53,955x = 6,672,439,225
  5. Step 5: Solve for x
    x = 6,672,439,225/53,955
  6. Step 6: Final answer
    x = 123,666.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.