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Finding the Third Proportional to 19,640 and 40,432

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Solution

The third proportional to 19,640 and 40,432 is: 83,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,640 : 40,432 = 40,432 : x
  2. Step 2: Convert to fraction form
    19,640/40,432 = 40,432/x
  3. Step 3: Cross multiply
    19,640x = 40,432 × 40,432
  4. Step 4: Simplify right side
    19,640x = 1,634,746,624
  5. Step 5: Solve for x
    x = 1,634,746,624/19,640
  6. Step 6: Final answer
    x = 83,235.57

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.