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Finding the Third Proportional to 30,477 and 47,097

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Solution

The third proportional to 30,477 and 47,097 is: 72,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477 : 47,097 = 47,097 : x
  2. Step 2: Convert to fraction form
    30,477/47,097 = 47,097/x
  3. Step 3: Cross multiply
    30,477x = 47,097 × 47,097
  4. Step 4: Simplify right side
    30,477x = 2,218,127,409
  5. Step 5: Solve for x
    x = 2,218,127,409/30,477
  6. Step 6: Final answer
    x = 72,780.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.