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Finding the Third Proportional to 308,544 and 641,664

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Solution

The third proportional to 308,544 and 641,664 is: 1,334,437.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,544 : 641,664 = 641,664 : x
  2. Step 2: Convert to fraction form
    308,544/641,664 = 641,664/x
  3. Step 3: Cross multiply
    308,544x = 641,664 × 641,664
  4. Step 4: Simplify right side
    308,544x = 411,732,688,896
  5. Step 5: Solve for x
    x = 411,732,688,896/308,544
  6. Step 6: Final answer
    x = 1,334,437.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.