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Finding the Third Proportional to 15,524 and 21,428

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Solution

The third proportional to 15,524 and 21,428 is: 29,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,524 : 21,428 = 21,428 : x
  2. Step 2: Convert to fraction form
    15,524/21,428 = 21,428/x
  3. Step 3: Cross multiply
    15,524x = 21,428 × 21,428
  4. Step 4: Simplify right side
    15,524x = 459,159,184
  5. Step 5: Solve for x
    x = 459,159,184/15,524
  6. Step 6: Final answer
    x = 29,577.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.