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Finding the Third Proportional to 10,124 and 15,476

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Solution

The third proportional to 10,124 and 15,476 is: 23,657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124 : 15,476 = 15,476 : x
  2. Step 2: Convert to fraction form
    10,124/15,476 = 15,476/x
  3. Step 3: Cross multiply
    10,124x = 15,476 × 15,476
  4. Step 4: Simplify right side
    10,124x = 239,506,576
  5. Step 5: Solve for x
    x = 239,506,576/10,124
  6. Step 6: Final answer
    x = 23,657.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.