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Finding the Third Proportional to 20,160 and 28,640

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Solution

The third proportional to 20,160 and 28,640 is: 40,686.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,160 : 28,640 = 28,640 : x
  2. Step 2: Convert to fraction form
    20,160/28,640 = 28,640/x
  3. Step 3: Cross multiply
    20,160x = 28,640 × 28,640
  4. Step 4: Simplify right side
    20,160x = 820,249,600
  5. Step 5: Solve for x
    x = 820,249,600/20,160
  6. Step 6: Final answer
    x = 40,686.98

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.