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Finding the Third Proportional to 138,423 and 212,206

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Solution

The third proportional to 138,423 and 212,206 is: 325,317.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,423 : 212,206 = 212,206 : x
  2. Step 2: Convert to fraction form
    138,423/212,206 = 212,206/x
  3. Step 3: Cross multiply
    138,423x = 212,206 × 212,206
  4. Step 4: Simplify right side
    138,423x = 45,031,386,436
  5. Step 5: Solve for x
    x = 45,031,386,436/138,423
  6. Step 6: Final answer
    x = 325,317.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.