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Finding the Third Proportional to 187,456 and 404,888

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Solution

The third proportional to 187,456 and 404,888 is: 874,521.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,456 : 404,888 = 404,888 : x
  2. Step 2: Convert to fraction form
    187,456/404,888 = 404,888/x
  3. Step 3: Cross multiply
    187,456x = 404,888 × 404,888
  4. Step 4: Simplify right side
    187,456x = 163,934,292,544
  5. Step 5: Solve for x
    x = 163,934,292,544/187,456
  6. Step 6: Final answer
    x = 874,521.45

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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.