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Finding the Third Proportional to 121,263 and 266,358

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Solution

The third proportional to 121,263 and 266,358 is: 585,063.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,263 : 266,358 = 266,358 : x
  2. Step 2: Convert to fraction form
    121,263/266,358 = 266,358/x
  3. Step 3: Cross multiply
    121,263x = 266,358 × 266,358
  4. Step 4: Simplify right side
    121,263x = 70,946,584,164
  5. Step 5: Solve for x
    x = 70,946,584,164/121,263
  6. Step 6: Final answer
    x = 585,063.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.