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Finding the Third Proportional to 19,056 and 30,432

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Solution

The third proportional to 19,056 and 30,432 is: 48,599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,056 : 30,432 = 30,432 : x
  2. Step 2: Convert to fraction form
    19,056/30,432 = 30,432/x
  3. Step 3: Cross multiply
    19,056x = 30,432 × 30,432
  4. Step 4: Simplify right side
    19,056x = 926,106,624
  5. Step 5: Solve for x
    x = 926,106,624/19,056
  6. Step 6: Final answer
    x = 48,599.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.