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Finding the Third Proportional to 434,069.84 and 644,808.46

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Solution

The third proportional to 434,069.84 and 644,808.46 is: 957,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,069.84 : 644,808.46 = 644,808.46 : x
  2. Step 2: Convert to fraction form
    434,069.84/644,808.46 = 644,808.46/x
  3. Step 3: Cross multiply
    434,069.84x = 644,808.46 × 644,808.46
  4. Step 4: Simplify right side
    434,069.84x = 415,777,955,940.56
  5. Step 5: Solve for x
    x = 415,777,955,940.56/434,069.84
  6. Step 6: Final answer
    x = 957,859.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.