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Finding the Third Proportional to 55,665 and 85,335

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Solution

The third proportional to 55,665 and 85,335 is: 130,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,665 : 85,335 = 85,335 : x
  2. Step 2: Convert to fraction form
    55,665/85,335 = 85,335/x
  3. Step 3: Cross multiply
    55,665x = 85,335 × 85,335
  4. Step 4: Simplify right side
    55,665x = 7,282,062,225
  5. Step 5: Solve for x
    x = 7,282,062,225/55,665
  6. Step 6: Final answer
    x = 130,819.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.