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Finding the Third Proportional to 131,607 and 204,153

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Solution

The third proportional to 131,607 and 204,153 is: 316,688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,607 : 204,153 = 204,153 : x
  2. Step 2: Convert to fraction form
    131,607/204,153 = 204,153/x
  3. Step 3: Cross multiply
    131,607x = 204,153 × 204,153
  4. Step 4: Simplify right side
    131,607x = 41,678,447,409
  5. Step 5: Solve for x
    x = 41,678,447,409/131,607
  6. Step 6: Final answer
    x = 316,688.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.