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Finding the Third Proportional to 261,879 and 418,415

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Solution

The third proportional to 261,879 and 418,415 is: 668,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,879 : 418,415 = 418,415 : x
  2. Step 2: Convert to fraction form
    261,879/418,415 = 418,415/x
  3. Step 3: Cross multiply
    261,879x = 418,415 × 418,415
  4. Step 4: Simplify right side
    261,879x = 175,071,112,225
  5. Step 5: Solve for x
    x = 175,071,112,225/261,879
  6. Step 6: Final answer
    x = 668,519.10

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.