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Finding the Third Proportional to 420,345 and 669,175

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Solution

The third proportional to 420,345 and 669,175 is: 1,065,303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,345 : 669,175 = 669,175 : x
  2. Step 2: Convert to fraction form
    420,345/669,175 = 669,175/x
  3. Step 3: Cross multiply
    420,345x = 669,175 × 669,175
  4. Step 4: Simplify right side
    420,345x = 447,795,180,625
  5. Step 5: Solve for x
    x = 447,795,180,625/420,345
  6. Step 6: Final answer
    x = 1,065,303.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.