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Finding the Third Proportional to 21,865 and 46,840

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Solution

The third proportional to 21,865 and 46,840 is: 100,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,865 : 46,840 = 46,840 : x
  2. Step 2: Convert to fraction form
    21,865/46,840 = 46,840/x
  3. Step 3: Cross multiply
    21,865x = 46,840 × 46,840
  4. Step 4: Simplify right side
    21,865x = 2,193,985,600
  5. Step 5: Solve for x
    x = 2,193,985,600/21,865
  6. Step 6: Final answer
    x = 100,342.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.