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Finding the Third Proportional to 10,031 and 15,419

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Solution

The third proportional to 10,031 and 15,419 is: 23,701.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031 : 15,419 = 15,419 : x
  2. Step 2: Convert to fraction form
    10,031/15,419 = 15,419/x
  3. Step 3: Cross multiply
    10,031x = 15,419 × 15,419
  4. Step 4: Simplify right side
    10,031x = 237,745,561
  5. Step 5: Solve for x
    x = 237,745,561/10,031
  6. Step 6: Final answer
    x = 23,701.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.