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Finding the Third Proportional to 351,715.50 and 715,861

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Solution

The third proportional to 351,715.50 and 715,861 is: 1,457,021.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,715.50 : 715,861 = 715,861 : x
  2. Step 2: Convert to fraction form
    351,715.50/715,861 = 715,861/x
  3. Step 3: Cross multiply
    351,715.50x = 715,861 × 715,861
  4. Step 4: Simplify right side
    351,715.50x = 512,456,971,321
  5. Step 5: Solve for x
    x = 512,456,971,321/351,715.50
  6. Step 6: Final answer
    x = 1,457,021.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.