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Finding the Third Proportional to 434,520 and 691,416

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Solution

The third proportional to 434,520 and 691,416 is: 1,100,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,520 : 691,416 = 691,416 : x
  2. Step 2: Convert to fraction form
    434,520/691,416 = 691,416/x
  3. Step 3: Cross multiply
    434,520x = 691,416 × 691,416
  4. Step 4: Simplify right side
    434,520x = 478,056,085,056
  5. Step 5: Solve for x
    x = 478,056,085,056/434,520
  6. Step 6: Final answer
    x = 1,100,193.51

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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.