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Finding the Third Proportional to 419,310 and 665,000

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Solution

The third proportional to 419,310 and 665,000 is: 1,054,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,310 : 665,000 = 665,000 : x
  2. Step 2: Convert to fraction form
    419,310/665,000 = 665,000/x
  3. Step 3: Cross multiply
    419,310x = 665,000 × 665,000
  4. Step 4: Simplify right side
    419,310x = 442,225,000,000
  5. Step 5: Solve for x
    x = 442,225,000,000/419,310
  6. Step 6: Final answer
    x = 1,054,649.30

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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.