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Finding the Third Proportional to 415,640 and 644,844

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Solution

The third proportional to 415,640 and 644,844 is: 1,000,442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,640 : 644,844 = 644,844 : x
  2. Step 2: Convert to fraction form
    415,640/644,844 = 644,844/x
  3. Step 3: Cross multiply
    415,640x = 644,844 × 644,844
  4. Step 4: Simplify right side
    415,640x = 415,823,784,336
  5. Step 5: Solve for x
    x = 415,823,784,336/415,640
  6. Step 6: Final answer
    x = 1,000,442.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.