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Finding the Third Proportional to 187,447 and 404,828

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Solution

The third proportional to 187,447 and 404,828 is: 874,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,447 : 404,828 = 404,828 : x
  2. Step 2: Convert to fraction form
    187,447/404,828 = 404,828/x
  3. Step 3: Cross multiply
    187,447x = 404,828 × 404,828
  4. Step 4: Simplify right side
    187,447x = 163,885,709,584
  5. Step 5: Solve for x
    x = 163,885,709,584/187,447
  6. Step 6: Final answer
    x = 874,304.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.