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Finding the Third Proportional to 187,972 and 405,283

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Solution

The third proportional to 187,972 and 405,283 is: 873,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,972 : 405,283 = 405,283 : x
  2. Step 2: Convert to fraction form
    187,972/405,283 = 405,283/x
  3. Step 3: Cross multiply
    187,972x = 405,283 × 405,283
  4. Step 4: Simplify right side
    187,972x = 164,254,310,089
  5. Step 5: Solve for x
    x = 164,254,310,089/187,972
  6. Step 6: Final answer
    x = 873,823.28

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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.