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Finding the Third Proportional to 19,859 and 29,518

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Solution

The third proportional to 19,859 and 29,518 is: 43,874.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,859 : 29,518 = 29,518 : x
  2. Step 2: Convert to fraction form
    19,859/29,518 = 29,518/x
  3. Step 3: Cross multiply
    19,859x = 29,518 × 29,518
  4. Step 4: Simplify right side
    19,859x = 871,312,324
  5. Step 5: Solve for x
    x = 871,312,324/19,859
  6. Step 6: Final answer
    x = 43,874.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.