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Finding the Third Proportional to 187,292 and 400,828

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Solution

The third proportional to 187,292 and 400,828 is: 857,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,292 : 400,828 = 400,828 : x
  2. Step 2: Convert to fraction form
    187,292/400,828 = 400,828/x
  3. Step 3: Cross multiply
    187,292x = 400,828 × 400,828
  4. Step 4: Simplify right side
    187,292x = 160,663,085,584
  5. Step 5: Solve for x
    x = 160,663,085,584/187,292
  6. Step 6: Final answer
    x = 857,821.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.