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Finding the Third Proportional to 286,330 and 610,578

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Solution

The third proportional to 286,330 and 610,578 is: 1,302,013.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,330 : 610,578 = 610,578 : x
  2. Step 2: Convert to fraction form
    286,330/610,578 = 610,578/x
  3. Step 3: Cross multiply
    286,330x = 610,578 × 610,578
  4. Step 4: Simplify right side
    286,330x = 372,805,494,084
  5. Step 5: Solve for x
    x = 372,805,494,084/286,330
  6. Step 6: Final answer
    x = 1,302,013.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.