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Finding the Third Proportional to 55,032 and 85,430

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Solution

The third proportional to 55,032 and 85,430 is: 132,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,032 : 85,430 = 85,430 : x
  2. Step 2: Convert to fraction form
    55,032/85,430 = 85,430/x
  3. Step 3: Cross multiply
    55,032x = 85,430 × 85,430
  4. Step 4: Simplify right side
    55,032x = 7,298,284,900
  5. Step 5: Solve for x
    x = 7,298,284,900/55,032
  6. Step 6: Final answer
    x = 132,618.93

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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.