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Finding the Third Proportional to 177,459 and 265,915

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Solution

The third proportional to 177,459 and 265,915 is: 398,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,459 : 265,915 = 265,915 : x
  2. Step 2: Convert to fraction form
    177,459/265,915 = 265,915/x
  3. Step 3: Cross multiply
    177,459x = 265,915 × 265,915
  4. Step 4: Simplify right side
    177,459x = 70,710,787,225
  5. Step 5: Solve for x
    x = 70,710,787,225/177,459
  6. Step 6: Final answer
    x = 398,462.67

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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.