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Finding the Third Proportional to 133,634 and 205,490

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Solution

The third proportional to 133,634 and 205,490 is: 315,983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,634 : 205,490 = 205,490 : x
  2. Step 2: Convert to fraction form
    133,634/205,490 = 205,490/x
  3. Step 3: Cross multiply
    133,634x = 205,490 × 205,490
  4. Step 4: Simplify right side
    133,634x = 42,226,140,100
  5. Step 5: Solve for x
    x = 42,226,140,100/133,634
  6. Step 6: Final answer
    x = 315,983.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.