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Finding the Third Proportional to 134,639 and 211,254

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Solution

The third proportional to 134,639 and 211,254 is: 331,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,639 : 211,254 = 211,254 : x
  2. Step 2: Convert to fraction form
    134,639/211,254 = 211,254/x
  3. Step 3: Cross multiply
    134,639x = 211,254 × 211,254
  4. Step 4: Simplify right side
    134,639x = 44,628,252,516
  5. Step 5: Solve for x
    x = 44,628,252,516/134,639
  6. Step 6: Final answer
    x = 331,466.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.