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Finding the Third Proportional to 18,436 and 28,354

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Solution

The third proportional to 18,436 and 28,354 is: 43,607.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,436 : 28,354 = 28,354 : x
  2. Step 2: Convert to fraction form
    18,436/28,354 = 28,354/x
  3. Step 3: Cross multiply
    18,436x = 28,354 × 28,354
  4. Step 4: Simplify right side
    18,436x = 803,949,316
  5. Step 5: Solve for x
    x = 803,949,316/18,436
  6. Step 6: Final answer
    x = 43,607.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.