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Finding the Third Proportional to 30,480 and 47,172

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Solution

The third proportional to 30,480 and 47,172 is: 73,005.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,480 : 47,172 = 47,172 : x
  2. Step 2: Convert to fraction form
    30,480/47,172 = 47,172/x
  3. Step 3: Cross multiply
    30,480x = 47,172 × 47,172
  4. Step 4: Simplify right side
    30,480x = 2,225,197,584
  5. Step 5: Solve for x
    x = 2,225,197,584/30,480
  6. Step 6: Final answer
    x = 73,005.17

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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.