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Finding the Third Proportional to 21,318 and 46,518

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Solution

The third proportional to 21,318 and 46,518 is: 101,506.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,318 : 46,518 = 46,518 : x
  2. Step 2: Convert to fraction form
    21,318/46,518 = 46,518/x
  3. Step 3: Cross multiply
    21,318x = 46,518 × 46,518
  4. Step 4: Simplify right side
    21,318x = 2,163,924,324
  5. Step 5: Solve for x
    x = 2,163,924,324/21,318
  6. Step 6: Final answer
    x = 101,506.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.