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Finding the Third Proportional to 30,603 and 45,762

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Solution

The third proportional to 30,603 and 45,762 is: 68,429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,603 : 45,762 = 45,762 : x
  2. Step 2: Convert to fraction form
    30,603/45,762 = 45,762/x
  3. Step 3: Cross multiply
    30,603x = 45,762 × 45,762
  4. Step 4: Simplify right side
    30,603x = 2,094,160,644
  5. Step 5: Solve for x
    x = 2,094,160,644/30,603
  6. Step 6: Final answer
    x = 68,429.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.