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Finding the Third Proportional to 30,724 and 47,710

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Solution

The third proportional to 30,724 and 47,710 is: 74,086.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724 : 47,710 = 47,710 : x
  2. Step 2: Convert to fraction form
    30,724/47,710 = 47,710/x
  3. Step 3: Cross multiply
    30,724x = 47,710 × 47,710
  4. Step 4: Simplify right side
    30,724x = 2,276,244,100
  5. Step 5: Solve for x
    x = 2,276,244,100/30,724
  6. Step 6: Final answer
    x = 74,086.84

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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.