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Finding the Third Proportional to 120,274 and 258,316

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Solution

The third proportional to 120,274 and 258,316 is: 554,792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,274 : 258,316 = 258,316 : x
  2. Step 2: Convert to fraction form
    120,274/258,316 = 258,316/x
  3. Step 3: Cross multiply
    120,274x = 258,316 × 258,316
  4. Step 4: Simplify right side
    120,274x = 66,727,155,856
  5. Step 5: Solve for x
    x = 66,727,155,856/120,274
  6. Step 6: Final answer
    x = 554,792.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.