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Finding the Third Proportional to 10,454 and 19,432

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Solution

The third proportional to 10,454 and 19,432 is: 36,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454 : 19,432 = 19,432 : x
  2. Step 2: Convert to fraction form
    10,454/19,432 = 19,432/x
  3. Step 3: Cross multiply
    10,454x = 19,432 × 19,432
  4. Step 4: Simplify right side
    10,454x = 377,602,624
  5. Step 5: Solve for x
    x = 377,602,624/10,454
  6. Step 6: Final answer
    x = 36,120.40

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.