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Finding the Third Proportional to 51,364 and 81,718

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Solution

The third proportional to 51,364 and 81,718 is: 130,009.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,364 : 81,718 = 81,718 : x
  2. Step 2: Convert to fraction form
    51,364/81,718 = 81,718/x
  3. Step 3: Cross multiply
    51,364x = 81,718 × 81,718
  4. Step 4: Simplify right side
    51,364x = 6,677,831,524
  5. Step 5: Solve for x
    x = 6,677,831,524/51,364
  6. Step 6: Final answer
    x = 130,009.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.