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Finding the Third Proportional to 51,460 and 81,798

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Solution

The third proportional to 51,460 and 81,798 is: 130,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,460 : 81,798 = 81,798 : x
  2. Step 2: Convert to fraction form
    51,460/81,798 = 81,798/x
  3. Step 3: Cross multiply
    51,460x = 81,798 × 81,798
  4. Step 4: Simplify right side
    51,460x = 6,690,912,804
  5. Step 5: Solve for x
    x = 6,690,912,804/51,460
  6. Step 6: Final answer
    x = 130,021.62

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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.