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Finding the Third Proportional to 8,432 and 19,820

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Solution

The third proportional to 8,432 and 19,820 is: 46,588.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432 : 19,820 = 19,820 : x
  2. Step 2: Convert to fraction form
    8,432/19,820 = 19,820/x
  3. Step 3: Cross multiply
    8,432x = 19,820 × 19,820
  4. Step 4: Simplify right side
    8,432x = 392,832,400
  5. Step 5: Solve for x
    x = 392,832,400/8,432
  6. Step 6: Final answer
    x = 46,588.28

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.