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Finding the Third Proportional to 30,742 and 45,019

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Solution

The third proportional to 30,742 and 45,019 is: 65,926.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,742 : 45,019 = 45,019 : x
  2. Step 2: Convert to fraction form
    30,742/45,019 = 45,019/x
  3. Step 3: Cross multiply
    30,742x = 45,019 × 45,019
  4. Step 4: Simplify right side
    30,742x = 2,026,710,361
  5. Step 5: Solve for x
    x = 2,026,710,361/30,742
  6. Step 6: Final answer
    x = 65,926.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.