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Finding the Third Proportional to 186,721 and 287,004

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Solution

The third proportional to 186,721 and 287,004 is: 441,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,721 : 287,004 = 287,004 : x
  2. Step 2: Convert to fraction form
    186,721/287,004 = 287,004/x
  3. Step 3: Cross multiply
    186,721x = 287,004 × 287,004
  4. Step 4: Simplify right side
    186,721x = 82,371,296,016
  5. Step 5: Solve for x
    x = 82,371,296,016/186,721
  6. Step 6: Final answer
    x = 441,146.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.