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Finding the Third Proportional to 318,896 and 676,664

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Solution

The third proportional to 318,896 and 676,664 is: 1,435,810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,896 : 676,664 = 676,664 : x
  2. Step 2: Convert to fraction form
    318,896/676,664 = 676,664/x
  3. Step 3: Cross multiply
    318,896x = 676,664 × 676,664
  4. Step 4: Simplify right side
    318,896x = 457,874,168,896
  5. Step 5: Solve for x
    x = 457,874,168,896/318,896
  6. Step 6: Final answer
    x = 1,435,810.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.