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Finding the Third Proportional to 30,488 and 47,512

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Solution

The third proportional to 30,488 and 47,512 is: 74,041.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,488 : 47,512 = 47,512 : x
  2. Step 2: Convert to fraction form
    30,488/47,512 = 47,512/x
  3. Step 3: Cross multiply
    30,488x = 47,512 × 47,512
  4. Step 4: Simplify right side
    30,488x = 2,257,390,144
  5. Step 5: Solve for x
    x = 2,257,390,144/30,488
  6. Step 6: Final answer
    x = 74,041.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.