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Finding the Third Proportional to 136,507 and 200,296

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Solution

The third proportional to 136,507 and 200,296 is: 293,893.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,507 : 200,296 = 200,296 : x
  2. Step 2: Convert to fraction form
    136,507/200,296 = 200,296/x
  3. Step 3: Cross multiply
    136,507x = 200,296 × 200,296
  4. Step 4: Simplify right side
    136,507x = 40,118,487,616
  5. Step 5: Solve for x
    x = 40,118,487,616/136,507
  6. Step 6: Final answer
    x = 293,893.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.