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Finding the Third Proportional to 27,580 and 57,860

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Solution

The third proportional to 27,580 and 57,860 is: 121,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,580 : 57,860 = 57,860 : x
  2. Step 2: Convert to fraction form
    27,580/57,860 = 57,860/x
  3. Step 3: Cross multiply
    27,580x = 57,860 × 57,860
  4. Step 4: Simplify right side
    27,580x = 3,347,779,600
  5. Step 5: Solve for x
    x = 3,347,779,600/27,580
  6. Step 6: Final answer
    x = 121,384.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.