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Finding the Third Proportional to 19,390 and 29,078

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Solution

The third proportional to 19,390 and 29,078 is: 43,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,390 : 29,078 = 29,078 : x
  2. Step 2: Convert to fraction form
    19,390/29,078 = 29,078/x
  3. Step 3: Cross multiply
    19,390x = 29,078 × 29,078
  4. Step 4: Simplify right side
    19,390x = 845,530,084
  5. Step 5: Solve for x
    x = 845,530,084/19,390
  6. Step 6: Final answer
    x = 43,606.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.