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Finding the Third Proportional to 30,285 and 45,701

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Solution

The third proportional to 30,285 and 45,701 is: 68,964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285 : 45,701 = 45,701 : x
  2. Step 2: Convert to fraction form
    30,285/45,701 = 45,701/x
  3. Step 3: Cross multiply
    30,285x = 45,701 × 45,701
  4. Step 4: Simplify right side
    30,285x = 2,088,581,401
  5. Step 5: Solve for x
    x = 2,088,581,401/30,285
  6. Step 6: Final answer
    x = 68,964.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.