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Finding the Third Proportional to 13,120 and 28,342

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Solution

The third proportional to 13,120 and 28,342 is: 61,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,120 : 28,342 = 28,342 : x
  2. Step 2: Convert to fraction form
    13,120/28,342 = 28,342/x
  3. Step 3: Cross multiply
    13,120x = 28,342 × 28,342
  4. Step 4: Simplify right side
    13,120x = 803,268,964
  5. Step 5: Solve for x
    x = 803,268,964/13,120
  6. Step 6: Final answer
    x = 61,224.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.