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Finding the Third Proportional to 21,859 and 46,902.50

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Solution

The third proportional to 21,859 and 46,902.50 is: 100,637.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,859 : 46,902.50 = 46,902.50 : x
  2. Step 2: Convert to fraction form
    21,859/46,902.50 = 46,902.50/x
  3. Step 3: Cross multiply
    21,859x = 46,902.50 × 46,902.50
  4. Step 4: Simplify right side
    21,859x = 2,199,844,506.25
  5. Step 5: Solve for x
    x = 2,199,844,506.25/21,859
  6. Step 6: Final answer
    x = 100,637.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.