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Finding the Third Proportional to 136,406 and 294,516

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Solution

The third proportional to 136,406 and 294,516 is: 635,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,406 : 294,516 = 294,516 : x
  2. Step 2: Convert to fraction form
    136,406/294,516 = 294,516/x
  3. Step 3: Cross multiply
    136,406x = 294,516 × 294,516
  4. Step 4: Simplify right side
    136,406x = 86,739,674,256
  5. Step 5: Solve for x
    x = 86,739,674,256/136,406
  6. Step 6: Final answer
    x = 635,893.39

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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.