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Finding the Third Proportional to 12,278 and 19,045

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Solution

The third proportional to 12,278 and 19,045 is: 29,541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278 : 19,045 = 19,045 : x
  2. Step 2: Convert to fraction form
    12,278/19,045 = 19,045/x
  3. Step 3: Cross multiply
    12,278x = 19,045 × 19,045
  4. Step 4: Simplify right side
    12,278x = 362,712,025
  5. Step 5: Solve for x
    x = 362,712,025/12,278
  6. Step 6: Final answer
    x = 29,541.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.