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Finding the Third Proportional to 420,347 and 669,178

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Solution

The third proportional to 420,347 and 669,178 is: 1,065,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,347 : 669,178 = 669,178 : x
  2. Step 2: Convert to fraction form
    420,347/669,178 = 669,178/x
  3. Step 3: Cross multiply
    420,347x = 669,178 × 669,178
  4. Step 4: Simplify right side
    420,347x = 447,799,195,684
  5. Step 5: Solve for x
    x = 447,799,195,684/420,347
  6. Step 6: Final answer
    x = 1,065,308.41

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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.