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Finding the Third Proportional to 305,289 and 671,472

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Solution

The third proportional to 305,289 and 671,472 is: 1,476,878.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,289 : 671,472 = 671,472 : x
  2. Step 2: Convert to fraction form
    305,289/671,472 = 671,472/x
  3. Step 3: Cross multiply
    305,289x = 671,472 × 671,472
  4. Step 4: Simplify right side
    305,289x = 450,874,646,784
  5. Step 5: Solve for x
    x = 450,874,646,784/305,289
  6. Step 6: Final answer
    x = 1,476,878.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.