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Finding the Third Proportional to 21,310 and 47,277

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Solution

The third proportional to 21,310 and 47,277 is: 104,885.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,310 : 47,277 = 47,277 : x
  2. Step 2: Convert to fraction form
    21,310/47,277 = 47,277/x
  3. Step 3: Cross multiply
    21,310x = 47,277 × 47,277
  4. Step 4: Simplify right side
    21,310x = 2,235,114,729
  5. Step 5: Solve for x
    x = 2,235,114,729/21,310
  6. Step 6: Final answer
    x = 104,885.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.