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Finding the Third Proportional to 332,915 and 521,685

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Solution

The third proportional to 332,915 and 521,685 is: 817,491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,915 : 521,685 = 521,685 : x
  2. Step 2: Convert to fraction form
    332,915/521,685 = 521,685/x
  3. Step 3: Cross multiply
    332,915x = 521,685 × 521,685
  4. Step 4: Simplify right side
    332,915x = 272,155,239,225
  5. Step 5: Solve for x
    x = 272,155,239,225/332,915
  6. Step 6: Final answer
    x = 817,491.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.