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Finding the Third Proportional to 19,430 and 40,243

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Solution

The third proportional to 19,430 and 40,243 is: 83,350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,430 : 40,243 = 40,243 : x
  2. Step 2: Convert to fraction form
    19,430/40,243 = 40,243/x
  3. Step 3: Cross multiply
    19,430x = 40,243 × 40,243
  4. Step 4: Simplify right side
    19,430x = 1,619,499,049
  5. Step 5: Solve for x
    x = 1,619,499,049/19,430
  6. Step 6: Final answer
    x = 83,350.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.