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Finding the Third Proportional to 138,526 and 210,705

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Solution

The third proportional to 138,526 and 210,705 is: 320,492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,526 : 210,705 = 210,705 : x
  2. Step 2: Convert to fraction form
    138,526/210,705 = 210,705/x
  3. Step 3: Cross multiply
    138,526x = 210,705 × 210,705
  4. Step 4: Simplify right side
    138,526x = 44,396,597,025
  5. Step 5: Solve for x
    x = 44,396,597,025/138,526
  6. Step 6: Final answer
    x = 320,492.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.