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Finding the Third Proportional to 28,972 and 47,938

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Solution

The third proportional to 28,972 and 47,938 is: 79,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,972 : 47,938 = 47,938 : x
  2. Step 2: Convert to fraction form
    28,972/47,938 = 47,938/x
  3. Step 3: Cross multiply
    28,972x = 47,938 × 47,938
  4. Step 4: Simplify right side
    28,972x = 2,298,051,844
  5. Step 5: Solve for x
    x = 2,298,051,844/28,972
  6. Step 6: Final answer
    x = 79,319.75

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.