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Finding the Third Proportional to 412,117.50 and 868,515

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Solution

The third proportional to 412,117.50 and 868,515 is: 1,830,347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,117.50 : 868,515 = 868,515 : x
  2. Step 2: Convert to fraction form
    412,117.50/868,515 = 868,515/x
  3. Step 3: Cross multiply
    412,117.50x = 868,515 × 868,515
  4. Step 4: Simplify right side
    412,117.50x = 754,318,305,225
  5. Step 5: Solve for x
    x = 754,318,305,225/412,117.50
  6. Step 6: Final answer
    x = 1,830,347.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.