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Finding the Third Proportional to 136,754 and 287,326

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Solution

The third proportional to 136,754 and 287,326 is: 603,684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,754 : 287,326 = 287,326 : x
  2. Step 2: Convert to fraction form
    136,754/287,326 = 287,326/x
  3. Step 3: Cross multiply
    136,754x = 287,326 × 287,326
  4. Step 4: Simplify right side
    136,754x = 82,556,230,276
  5. Step 5: Solve for x
    x = 82,556,230,276/136,754
  6. Step 6: Final answer
    x = 603,684.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.