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Finding the Third Proportional to 19,275 and 39,702

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Solution

The third proportional to 19,275 and 39,702 is: 81,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,275 : 39,702 = 39,702 : x
  2. Step 2: Convert to fraction form
    19,275/39,702 = 39,702/x
  3. Step 3: Cross multiply
    19,275x = 39,702 × 39,702
  4. Step 4: Simplify right side
    19,275x = 1,576,248,804
  5. Step 5: Solve for x
    x = 1,576,248,804/19,275
  6. Step 6: Final answer
    x = 81,776.85

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.