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Finding the Third Proportional to 15,312 and 23,680

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Solution

The third proportional to 15,312 and 23,680 is: 36,621.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,312 : 23,680 = 23,680 : x
  2. Step 2: Convert to fraction form
    15,312/23,680 = 23,680/x
  3. Step 3: Cross multiply
    15,312x = 23,680 × 23,680
  4. Step 4: Simplify right side
    15,312x = 560,742,400
  5. Step 5: Solve for x
    x = 560,742,400/15,312
  6. Step 6: Final answer
    x = 36,621.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.