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Finding the Third Proportional to 136,253 and 212,653

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Solution

The third proportional to 136,253 and 212,653 is: 331,892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,253 : 212,653 = 212,653 : x
  2. Step 2: Convert to fraction form
    136,253/212,653 = 212,653/x
  3. Step 3: Cross multiply
    136,253x = 212,653 × 212,653
  4. Step 4: Simplify right side
    136,253x = 45,221,298,409
  5. Step 5: Solve for x
    x = 45,221,298,409/136,253
  6. Step 6: Final answer
    x = 331,892.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.