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Finding the Third Proportional to 51,370 and 81,509

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Solution

The third proportional to 51,370 and 81,509 is: 129,330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,370 : 81,509 = 81,509 : x
  2. Step 2: Convert to fraction form
    51,370/81,509 = 81,509/x
  3. Step 3: Cross multiply
    51,370x = 81,509 × 81,509
  4. Step 4: Simplify right side
    51,370x = 6,643,717,081
  5. Step 5: Solve for x
    x = 6,643,717,081/51,370
  6. Step 6: Final answer
    x = 129,330.68

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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.