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Finding the Third Proportional to 12,406 and 19,459

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Solution

The third proportional to 12,406 and 19,459 is: 30,521.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406 : 19,459 = 19,459 : x
  2. Step 2: Convert to fraction form
    12,406/19,459 = 19,459/x
  3. Step 3: Cross multiply
    12,406x = 19,459 × 19,459
  4. Step 4: Simplify right side
    12,406x = 378,652,681
  5. Step 5: Solve for x
    x = 378,652,681/12,406
  6. Step 6: Final answer
    x = 30,521.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.