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Finding the Third Proportional to 28,470 and 47,438

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Solution

The third proportional to 28,470 and 47,438 is: 79,043.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,470 : 47,438 = 47,438 : x
  2. Step 2: Convert to fraction form
    28,470/47,438 = 47,438/x
  3. Step 3: Cross multiply
    28,470x = 47,438 × 47,438
  4. Step 4: Simplify right side
    28,470x = 2,250,363,844
  5. Step 5: Solve for x
    x = 2,250,363,844/28,470
  6. Step 6: Final answer
    x = 79,043.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.