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Finding the Third Proportional to 272,640 and 418,494

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Solution

The third proportional to 272,640 and 418,494 is: 642,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,640 : 418,494 = 418,494 : x
  2. Step 2: Convert to fraction form
    272,640/418,494 = 418,494/x
  3. Step 3: Cross multiply
    272,640x = 418,494 × 418,494
  4. Step 4: Simplify right side
    272,640x = 175,137,228,036
  5. Step 5: Solve for x
    x = 175,137,228,036/272,640
  6. Step 6: Final answer
    x = 642,375.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.