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Finding the Third Proportional to 133,386 and 203,465.25

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Solution

The third proportional to 133,386 and 203,465.25 is: 310,363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,386 : 203,465.25 = 203,465.25 : x
  2. Step 2: Convert to fraction form
    133,386/203,465.25 = 203,465.25/x
  3. Step 3: Cross multiply
    133,386x = 203,465.25 × 203,465.25
  4. Step 4: Simplify right side
    133,386x = 41,398,107,957.56
  5. Step 5: Solve for x
    x = 41,398,107,957.56/133,386
  6. Step 6: Final answer
    x = 310,363.22

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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.