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Finding the Third Proportional to 123,007 and 266,415

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Solution

The third proportional to 123,007 and 266,415 is: 577,015.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,007 : 266,415 = 266,415 : x
  2. Step 2: Convert to fraction form
    123,007/266,415 = 266,415/x
  3. Step 3: Cross multiply
    123,007x = 266,415 × 266,415
  4. Step 4: Simplify right side
    123,007x = 70,976,952,225
  5. Step 5: Solve for x
    x = 70,976,952,225/123,007
  6. Step 6: Final answer
    x = 577,015.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.