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Finding the Third Proportional to 19,458 and 27,729

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Solution

The third proportional to 19,458 and 27,729 is: 39,515.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,458 : 27,729 = 27,729 : x
  2. Step 2: Convert to fraction form
    19,458/27,729 = 27,729/x
  3. Step 3: Cross multiply
    19,458x = 27,729 × 27,729
  4. Step 4: Simplify right side
    19,458x = 768,897,441
  5. Step 5: Solve for x
    x = 768,897,441/19,458
  6. Step 6: Final answer
    x = 39,515.75

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.