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Finding the Third Proportional to 434,919 and 665,296.50

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Solution

The third proportional to 434,919 and 665,296.50 is: 1,017,705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,919 : 665,296.50 = 665,296.50 : x
  2. Step 2: Convert to fraction form
    434,919/665,296.50 = 665,296.50/x
  3. Step 3: Cross multiply
    434,919x = 665,296.50 × 665,296.50
  4. Step 4: Simplify right side
    434,919x = 442,619,432,912.25
  5. Step 5: Solve for x
    x = 442,619,432,912.25/434,919
  6. Step 6: Final answer
    x = 1,017,705.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.