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Finding the Third Proportional to 434,217.74 and 689,212.55

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Solution

The third proportional to 434,217.74 and 689,212.55 is: 1,093,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,217.74 : 689,212.55 = 689,212.55 : x
  2. Step 2: Convert to fraction form
    434,217.74/689,212.55 = 689,212.55/x
  3. Step 3: Cross multiply
    434,217.74x = 689,212.55 × 689,212.55
  4. Step 4: Simplify right side
    434,217.74x = 475,013,934,769.92
  5. Step 5: Solve for x
    x = 475,013,934,769.92/434,217.74
  6. Step 6: Final answer
    x = 1,093,953.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.