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Finding the Third Proportional to 6,406 and 15,503

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Solution

The third proportional to 6,406 and 15,503 is: 37,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406 : 15,503 = 15,503 : x
  2. Step 2: Convert to fraction form
    6,406/15,503 = 15,503/x
  3. Step 3: Cross multiply
    6,406x = 15,503 × 15,503
  4. Step 4: Simplify right side
    6,406x = 240,343,009
  5. Step 5: Solve for x
    x = 240,343,009/6,406
  6. Step 6: Final answer
    x = 37,518.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.