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Finding the Third Proportional to 132,580 and 258,440

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Solution

The third proportional to 132,580 and 258,440 is: 503,780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,580 : 258,440 = 258,440 : x
  2. Step 2: Convert to fraction form
    132,580/258,440 = 258,440/x
  3. Step 3: Cross multiply
    132,580x = 258,440 × 258,440
  4. Step 4: Simplify right side
    132,580x = 66,791,233,600
  5. Step 5: Solve for x
    x = 66,791,233,600/132,580
  6. Step 6: Final answer
    x = 503,780.61

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.