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Finding the Third Proportional to 56,043 and 86,775

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Solution

The third proportional to 56,043 and 86,775 is: 134,359.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,043 : 86,775 = 86,775 : x
  2. Step 2: Convert to fraction form
    56,043/86,775 = 86,775/x
  3. Step 3: Cross multiply
    56,043x = 86,775 × 86,775
  4. Step 4: Simplify right side
    56,043x = 7,529,900,625
  5. Step 5: Solve for x
    x = 7,529,900,625/56,043
  6. Step 6: Final answer
    x = 134,359.34

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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.