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Finding the Third Proportional to 300,289 and 652,498

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Solution

The third proportional to 300,289 and 652,498 is: 1,417,812.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,289 : 652,498 = 652,498 : x
  2. Step 2: Convert to fraction form
    300,289/652,498 = 652,498/x
  3. Step 3: Cross multiply
    300,289x = 652,498 × 652,498
  4. Step 4: Simplify right side
    300,289x = 425,753,640,004
  5. Step 5: Solve for x
    x = 425,753,640,004/300,289
  6. Step 6: Final answer
    x = 1,417,812.97

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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.