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Finding the Third Proportional to 30,345 and 47,115

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Solution

The third proportional to 30,345 and 47,115 is: 73,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,345 : 47,115 = 47,115 : x
  2. Step 2: Convert to fraction form
    30,345/47,115 = 47,115/x
  3. Step 3: Cross multiply
    30,345x = 47,115 × 47,115
  4. Step 4: Simplify right side
    30,345x = 2,219,823,225
  5. Step 5: Solve for x
    x = 2,219,823,225/30,345
  6. Step 6: Final answer
    x = 73,152.85

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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.