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Finding the Third Proportional to 28,470 and 43,394

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Solution

The third proportional to 28,470 and 43,394 is: 66,141.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,470 : 43,394 = 43,394 : x
  2. Step 2: Convert to fraction form
    28,470/43,394 = 43,394/x
  3. Step 3: Cross multiply
    28,470x = 43,394 × 43,394
  4. Step 4: Simplify right side
    28,470x = 1,883,039,236
  5. Step 5: Solve for x
    x = 1,883,039,236/28,470
  6. Step 6: Final answer
    x = 66,141.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.