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Finding the Third Proportional to 7,938 and 13,045.50

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Solution

The third proportional to 7,938 and 13,045.50 is: 21,439.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938 : 13,045.50 = 13,045.50 : x
  2. Step 2: Convert to fraction form
    7,938/13,045.50 = 13,045.50/x
  3. Step 3: Cross multiply
    7,938x = 13,045.50 × 13,045.50
  4. Step 4: Simplify right side
    7,938x = 170,185,070.25
  5. Step 5: Solve for x
    x = 170,185,070.25/7,938
  6. Step 6: Final answer
    x = 21,439.29

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.