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Finding the Third Proportional to 55,685 and 80,455.50

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Solution

The third proportional to 55,685 and 80,455.50 is: 116,244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,685 : 80,455.50 = 80,455.50 : x
  2. Step 2: Convert to fraction form
    55,685/80,455.50 = 80,455.50/x
  3. Step 3: Cross multiply
    55,685x = 80,455.50 × 80,455.50
  4. Step 4: Simplify right side
    55,685x = 6,473,087,480.25
  5. Step 5: Solve for x
    x = 6,473,087,480.25/55,685
  6. Step 6: Final answer
    x = 116,244.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.