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Finding the Third Proportional to 436,485 and 655,329

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Solution

The third proportional to 436,485 and 655,329 is: 983,896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,485 : 655,329 = 655,329 : x
  2. Step 2: Convert to fraction form
    436,485/655,329 = 655,329/x
  3. Step 3: Cross multiply
    436,485x = 655,329 × 655,329
  4. Step 4: Simplify right side
    436,485x = 429,456,098,241
  5. Step 5: Solve for x
    x = 429,456,098,241/436,485
  6. Step 6: Final answer
    x = 983,896.58

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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.