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Finding the Third Proportional to 19,386 and 28,323

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Solution

The third proportional to 19,386 and 28,323 is: 41,379.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,386 : 28,323 = 28,323 : x
  2. Step 2: Convert to fraction form
    19,386/28,323 = 28,323/x
  3. Step 3: Cross multiply
    19,386x = 28,323 × 28,323
  4. Step 4: Simplify right side
    19,386x = 802,192,329
  5. Step 5: Solve for x
    x = 802,192,329/19,386
  6. Step 6: Final answer
    x = 41,379.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.