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Finding the Third Proportional to 12,998 and 29,921

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Solution

The third proportional to 12,998 and 29,921 is: 68,877.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998 : 29,921 = 29,921 : x
  2. Step 2: Convert to fraction form
    12,998/29,921 = 29,921/x
  3. Step 3: Cross multiply
    12,998x = 29,921 × 29,921
  4. Step 4: Simplify right side
    12,998x = 895,266,241
  5. Step 5: Solve for x
    x = 895,266,241/12,998
  6. Step 6: Final answer
    x = 68,877.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.