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Finding the Third Proportional to 55,000 and 85,308

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Solution

The third proportional to 55,000 and 85,308 is: 132,317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,000 : 85,308 = 85,308 : x
  2. Step 2: Convert to fraction form
    55,000/85,308 = 85,308/x
  3. Step 3: Cross multiply
    55,000x = 85,308 × 85,308
  4. Step 4: Simplify right side
    55,000x = 7,277,454,864
  5. Step 5: Solve for x
    x = 7,277,454,864/55,000
  6. Step 6: Final answer
    x = 132,317.36

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1.5x scale

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.