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Finding the Third Proportional to 12,324 and 15,590

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Solution

The third proportional to 12,324 and 15,590 is: 19,721.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324 : 15,590 = 15,590 : x
  2. Step 2: Convert to fraction form
    12,324/15,590 = 15,590/x
  3. Step 3: Cross multiply
    12,324x = 15,590 × 15,590
  4. Step 4: Simplify right side
    12,324x = 243,048,100
  5. Step 5: Solve for x
    x = 243,048,100/12,324
  6. Step 6: Final answer
    x = 19,721.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.