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Finding the Third Proportional to 434,122 and 670,865

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Solution

The third proportional to 434,122 and 670,865 is: 1,036,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,122 : 670,865 = 670,865 : x
  2. Step 2: Convert to fraction form
    434,122/670,865 = 670,865/x
  3. Step 3: Cross multiply
    434,122x = 670,865 × 670,865
  4. Step 4: Simplify right side
    434,122x = 450,059,848,225
  5. Step 5: Solve for x
    x = 450,059,848,225/434,122
  6. Step 6: Final answer
    x = 1,036,712.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.