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Finding the Third Proportional to 433,178 and 669,442

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Solution

The third proportional to 433,178 and 669,442 is: 1,034,569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,178 : 669,442 = 669,442 : x
  2. Step 2: Convert to fraction form
    433,178/669,442 = 669,442/x
  3. Step 3: Cross multiply
    433,178x = 669,442 × 669,442
  4. Step 4: Simplify right side
    433,178x = 448,152,591,364
  5. Step 5: Solve for x
    x = 448,152,591,364/433,178
  6. Step 6: Final answer
    x = 1,034,569.14

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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.