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Finding the Third Proportional to 19,120 and 28,117

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Solution

The third proportional to 19,120 and 28,117 is: 41,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,120 : 28,117 = 28,117 : x
  2. Step 2: Convert to fraction form
    19,120/28,117 = 28,117/x
  3. Step 3: Cross multiply
    19,120x = 28,117 × 28,117
  4. Step 4: Simplify right side
    19,120x = 790,565,689
  5. Step 5: Solve for x
    x = 790,565,689/19,120
  6. Step 6: Final answer
    x = 41,347.58

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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.