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Finding the Third Proportional to 19,685 and 28,879

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Solution

The third proportional to 19,685 and 28,879 is: 42,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,685 : 28,879 = 28,879 : x
  2. Step 2: Convert to fraction form
    19,685/28,879 = 28,879/x
  3. Step 3: Cross multiply
    19,685x = 28,879 × 28,879
  4. Step 4: Simplify right side
    19,685x = 833,996,641
  5. Step 5: Solve for x
    x = 833,996,641/19,685
  6. Step 6: Final answer
    x = 42,367.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.