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Finding the Third Proportional to 19,142 and 40,604

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Solution

The third proportional to 19,142 and 40,604 is: 86,129.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,142 : 40,604 = 40,604 : x
  2. Step 2: Convert to fraction form
    19,142/40,604 = 40,604/x
  3. Step 3: Cross multiply
    19,142x = 40,604 × 40,604
  4. Step 4: Simplify right side
    19,142x = 1,648,684,816
  5. Step 5: Solve for x
    x = 1,648,684,816/19,142
  6. Step 6: Final answer
    x = 86,129.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.