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Finding the Third Proportional to 133,746 and 200,646

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Solution

The third proportional to 133,746 and 200,646 is: 301,009.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,746 : 200,646 = 200,646 : x
  2. Step 2: Convert to fraction form
    133,746/200,646 = 200,646/x
  3. Step 3: Cross multiply
    133,746x = 200,646 × 200,646
  4. Step 4: Simplify right side
    133,746x = 40,258,817,316
  5. Step 5: Solve for x
    x = 40,258,817,316/133,746
  6. Step 6: Final answer
    x = 301,009.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.