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Finding the Third Proportional to 431,492 and 646,914

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Solution

The third proportional to 431,492 and 646,914 is: 969,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,492 : 646,914 = 646,914 : x
  2. Step 2: Convert to fraction form
    431,492/646,914 = 646,914/x
  3. Step 3: Cross multiply
    431,492x = 646,914 × 646,914
  4. Step 4: Simplify right side
    431,492x = 418,497,723,396
  5. Step 5: Solve for x
    x = 418,497,723,396/431,492
  6. Step 6: Final answer
    x = 969,885.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.