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Finding the Third Proportional to 19,355 and 28,957

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Solution

The third proportional to 19,355 and 28,957 is: 43,322.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,355 : 28,957 = 28,957 : x
  2. Step 2: Convert to fraction form
    19,355/28,957 = 28,957/x
  3. Step 3: Cross multiply
    19,355x = 28,957 × 28,957
  4. Step 4: Simplify right side
    19,355x = 838,507,849
  5. Step 5: Solve for x
    x = 838,507,849/19,355
  6. Step 6: Final answer
    x = 43,322.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.