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Finding the Third Proportional to 121,701 and 266,307

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Solution

The third proportional to 121,701 and 266,307 is: 582,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,701 : 266,307 = 266,307 : x
  2. Step 2: Convert to fraction form
    121,701/266,307 = 266,307/x
  3. Step 3: Cross multiply
    121,701x = 266,307 × 266,307
  4. Step 4: Simplify right side
    121,701x = 70,919,418,249
  5. Step 5: Solve for x
    x = 70,919,418,249/121,701
  6. Step 6: Final answer
    x = 582,734.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.