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Finding the Third Proportional to 433,218 and 669,495

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Solution

The third proportional to 433,218 and 669,495 is: 1,034,637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,218 : 669,495 = 669,495 : x
  2. Step 2: Convert to fraction form
    433,218/669,495 = 669,495/x
  3. Step 3: Cross multiply
    433,218x = 669,495 × 669,495
  4. Step 4: Simplify right side
    433,218x = 448,223,555,025
  5. Step 5: Solve for x
    x = 448,223,555,025/433,218
  6. Step 6: Final answer
    x = 1,034,637.42

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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.