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Finding the Third Proportional to 19,579 and 27,910

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Solution

The third proportional to 19,579 and 27,910 is: 39,785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,579 : 27,910 = 27,910 : x
  2. Step 2: Convert to fraction form
    19,579/27,910 = 27,910/x
  3. Step 3: Cross multiply
    19,579x = 27,910 × 27,910
  4. Step 4: Simplify right side
    19,579x = 778,968,100
  5. Step 5: Solve for x
    x = 778,968,100/19,579
  6. Step 6: Final answer
    x = 39,785.90

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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.