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Finding the Third Proportional to 56,903 and 88,411

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Solution

The third proportional to 56,903 and 88,411 is: 137,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,903 : 88,411 = 88,411 : x
  2. Step 2: Convert to fraction form
    56,903/88,411 = 88,411/x
  3. Step 3: Cross multiply
    56,903x = 88,411 × 88,411
  4. Step 4: Simplify right side
    56,903x = 7,816,504,921
  5. Step 5: Solve for x
    x = 7,816,504,921/56,903
  6. Step 6: Final answer
    x = 137,365.43

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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.