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Finding the Third Proportional to 121,164 and 248,376

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Solution

The third proportional to 121,164 and 248,376 is: 509,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,164 : 248,376 = 248,376 : x
  2. Step 2: Convert to fraction form
    121,164/248,376 = 248,376/x
  3. Step 3: Cross multiply
    121,164x = 248,376 × 248,376
  4. Step 4: Simplify right side
    121,164x = 61,690,637,376
  5. Step 5: Solve for x
    x = 61,690,637,376/121,164
  6. Step 6: Final answer
    x = 509,149.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.