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Finding the Third Proportional to 56,902 and 81,964

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Solution

The third proportional to 56,902 and 81,964 is: 118,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,902 : 81,964 = 81,964 : x
  2. Step 2: Convert to fraction form
    56,902/81,964 = 81,964/x
  3. Step 3: Cross multiply
    56,902x = 81,964 × 81,964
  4. Step 4: Simplify right side
    56,902x = 6,718,097,296
  5. Step 5: Solve for x
    x = 6,718,097,296/56,902
  6. Step 6: Final answer
    x = 118,064.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.