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Finding the Third Proportional to 121,424 and 266,172

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Solution

The third proportional to 121,424 and 266,172 is: 583,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,424 : 266,172 = 266,172 : x
  2. Step 2: Convert to fraction form
    121,424/266,172 = 266,172/x
  3. Step 3: Cross multiply
    121,424x = 266,172 × 266,172
  4. Step 4: Simplify right side
    121,424x = 70,847,533,584
  5. Step 5: Solve for x
    x = 70,847,533,584/121,424
  6. Step 6: Final answer
    x = 583,472.24

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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.