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Finding the Third Proportional to 289,170 and 613,332

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Solution

The third proportional to 289,170 and 613,332 is: 1,300,882.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,170 : 613,332 = 613,332 : x
  2. Step 2: Convert to fraction form
    289,170/613,332 = 613,332/x
  3. Step 3: Cross multiply
    289,170x = 613,332 × 613,332
  4. Step 4: Simplify right side
    289,170x = 376,176,142,224
  5. Step 5: Solve for x
    x = 376,176,142,224/289,170
  6. Step 6: Final answer
    x = 1,300,882.33

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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.