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Finding the Third Proportional to 121,106 and 266,107

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Solution

The third proportional to 121,106 and 266,107 is: 584,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,106 : 266,107 = 266,107 : x
  2. Step 2: Convert to fraction form
    121,106/266,107 = 266,107/x
  3. Step 3: Cross multiply
    121,106x = 266,107 × 266,107
  4. Step 4: Simplify right side
    121,106x = 70,812,935,449
  5. Step 5: Solve for x
    x = 70,812,935,449/121,106
  6. Step 6: Final answer
    x = 584,718.64

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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.