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Finding the Third Proportional to 28,697 and 47,423

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Solution

The third proportional to 28,697 and 47,423 is: 78,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,697 : 47,423 = 47,423 : x
  2. Step 2: Convert to fraction form
    28,697/47,423 = 47,423/x
  3. Step 3: Cross multiply
    28,697x = 47,423 × 47,423
  4. Step 4: Simplify right side
    28,697x = 2,248,940,929
  5. Step 5: Solve for x
    x = 2,248,940,929/28,697
  6. Step 6: Final answer
    x = 78,368.50

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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.