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Finding the Third Proportional to 121,467 and 266,259

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Solution

The third proportional to 121,467 and 266,259 is: 583,647.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,467 : 266,259 = 266,259 : x
  2. Step 2: Convert to fraction form
    121,467/266,259 = 266,259/x
  3. Step 3: Cross multiply
    121,467x = 266,259 × 266,259
  4. Step 4: Simplify right side
    121,467x = 70,893,855,081
  5. Step 5: Solve for x
    x = 70,893,855,081/121,467
  6. Step 6: Final answer
    x = 583,647.04

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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.