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Finding the Third Proportional to 51,816.50 and 61,385

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Solution

The third proportional to 51,816.50 and 61,385 is: 72,720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,816.50 : 61,385 = 61,385 : x
  2. Step 2: Convert to fraction form
    51,816.50/61,385 = 61,385/x
  3. Step 3: Cross multiply
    51,816.50x = 61,385 × 61,385
  4. Step 4: Simplify right side
    51,816.50x = 3,768,118,225
  5. Step 5: Solve for x
    x = 3,768,118,225/51,816.50
  6. Step 6: Final answer
    x = 72,720.43

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.