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Finding the Third Proportional to 70,189.50 and 133,905

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Solution

The third proportional to 70,189.50 and 133,905 is: 255,459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,189.50 : 133,905 = 133,905 : x
  2. Step 2: Convert to fraction form
    70,189.50/133,905 = 133,905/x
  3. Step 3: Cross multiply
    70,189.50x = 133,905 × 133,905
  4. Step 4: Simplify right side
    70,189.50x = 17,930,549,025
  5. Step 5: Solve for x
    x = 17,930,549,025/70,189.50
  6. Step 6: Final answer
    x = 255,459.14

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.