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Finding the Third Proportional to 30,578 and 47,091

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Solution

The third proportional to 30,578 and 47,091 is: 72,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578 : 47,091 = 47,091 : x
  2. Step 2: Convert to fraction form
    30,578/47,091 = 47,091/x
  3. Step 3: Cross multiply
    30,578x = 47,091 × 47,091
  4. Step 4: Simplify right side
    30,578x = 2,217,562,281
  5. Step 5: Solve for x
    x = 2,217,562,281/30,578
  6. Step 6: Final answer
    x = 72,521.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.