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Finding the Third Proportional to 431,206 and 652,823

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Solution

The third proportional to 431,206 and 652,823 is: 988,339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,206 : 652,823 = 652,823 : x
  2. Step 2: Convert to fraction form
    431,206/652,823 = 652,823/x
  3. Step 3: Cross multiply
    431,206x = 652,823 × 652,823
  4. Step 4: Simplify right side
    431,206x = 426,177,869,329
  5. Step 5: Solve for x
    x = 426,177,869,329/431,206
  6. Step 6: Final answer
    x = 988,339.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.