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Finding the Third Proportional to 433,176 and 669,439

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Solution

The third proportional to 433,176 and 669,439 is: 1,034,564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,176 : 669,439 = 669,439 : x
  2. Step 2: Convert to fraction form
    433,176/669,439 = 669,439/x
  3. Step 3: Cross multiply
    433,176x = 669,439 × 669,439
  4. Step 4: Simplify right side
    433,176x = 448,148,574,721
  5. Step 5: Solve for x
    x = 448,148,574,721/433,176
  6. Step 6: Final answer
    x = 1,034,564.65

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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.