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Finding the Third Proportional to 55,289 and 85,032

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Solution

The third proportional to 55,289 and 85,032 is: 130,775.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,289 : 85,032 = 85,032 : x
  2. Step 2: Convert to fraction form
    55,289/85,032 = 85,032/x
  3. Step 3: Cross multiply
    55,289x = 85,032 × 85,032
  4. Step 4: Simplify right side
    55,289x = 7,230,441,024
  5. Step 5: Solve for x
    x = 7,230,441,024/55,289
  6. Step 6: Final answer
    x = 130,775.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.