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Finding the Third Proportional to 294,065 and 637,910

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Solution

The third proportional to 294,065 and 637,910 is: 1,383,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,065 : 637,910 = 637,910 : x
  2. Step 2: Convert to fraction form
    294,065/637,910 = 637,910/x
  3. Step 3: Cross multiply
    294,065x = 637,910 × 637,910
  4. Step 4: Simplify right side
    294,065x = 406,929,168,100
  5. Step 5: Solve for x
    x = 406,929,168,100/294,065
  6. Step 6: Final answer
    x = 1,383,806.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.