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Finding the Third Proportional to 30,768 and 45,576

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Solution

The third proportional to 30,768 and 45,576 is: 67,510.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,768 : 45,576 = 45,576 : x
  2. Step 2: Convert to fraction form
    30,768/45,576 = 45,576/x
  3. Step 3: Cross multiply
    30,768x = 45,576 × 45,576
  4. Step 4: Simplify right side
    30,768x = 2,077,171,776
  5. Step 5: Solve for x
    x = 2,077,171,776/30,768
  6. Step 6: Final answer
    x = 67,510.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.