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Finding the Third Proportional to 351,385.50 and 770,487

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Solution

The third proportional to 351,385.50 and 770,487 is: 1,689,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,385.50 : 770,487 = 770,487 : x
  2. Step 2: Convert to fraction form
    351,385.50/770,487 = 770,487/x
  3. Step 3: Cross multiply
    351,385.50x = 770,487 × 770,487
  4. Step 4: Simplify right side
    351,385.50x = 593,650,217,169
  5. Step 5: Solve for x
    x = 593,650,217,169/351,385.50
  6. Step 6: Final answer
    x = 1,689,455.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.