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Finding the Third Proportional to 289,178 and 613,348

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Solution

The third proportional to 289,178 and 613,348 is: 1,300,914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,178 : 613,348 = 613,348 : x
  2. Step 2: Convert to fraction form
    289,178/613,348 = 613,348/x
  3. Step 3: Cross multiply
    289,178x = 613,348 × 613,348
  4. Step 4: Simplify right side
    289,178x = 376,195,769,104
  5. Step 5: Solve for x
    x = 376,195,769,104/289,178
  6. Step 6: Final answer
    x = 1,300,914.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.