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Finding the Third Proportional to 13,280 and 19,615

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Solution

The third proportional to 13,280 and 19,615 is: 28,972.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,280 : 19,615 = 19,615 : x
  2. Step 2: Convert to fraction form
    13,280/19,615 = 19,615/x
  3. Step 3: Cross multiply
    13,280x = 19,615 × 19,615
  4. Step 4: Simplify right side
    13,280x = 384,748,225
  5. Step 5: Solve for x
    x = 384,748,225/13,280
  6. Step 6: Final answer
    x = 28,972.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.