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Finding the Third Proportional to 30,780 and 47,970

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Solution

The third proportional to 30,780 and 47,970 is: 74,760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,780 : 47,970 = 47,970 : x
  2. Step 2: Convert to fraction form
    30,780/47,970 = 47,970/x
  3. Step 3: Cross multiply
    30,780x = 47,970 × 47,970
  4. Step 4: Simplify right side
    30,780x = 2,301,120,900
  5. Step 5: Solve for x
    x = 2,301,120,900/30,780
  6. Step 6: Final answer
    x = 74,760.26

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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.