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Finding the Third Proportional to 30,859 and 47,570

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Solution

The third proportional to 30,859 and 47,570 is: 73,330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,859 : 47,570 = 47,570 : x
  2. Step 2: Convert to fraction form
    30,859/47,570 = 47,570/x
  3. Step 3: Cross multiply
    30,859x = 47,570 × 47,570
  4. Step 4: Simplify right side
    30,859x = 2,262,904,900
  5. Step 5: Solve for x
    x = 2,262,904,900/30,859
  6. Step 6: Final answer
    x = 73,330.47

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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.