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Finding the Third Proportional to 447,618 and 637,326

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Solution

The third proportional to 447,618 and 637,326 is: 907,435.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,618 : 637,326 = 637,326 : x
  2. Step 2: Convert to fraction form
    447,618/637,326 = 637,326/x
  3. Step 3: Cross multiply
    447,618x = 637,326 × 637,326
  4. Step 4: Simplify right side
    447,618x = 406,184,430,276
  5. Step 5: Solve for x
    x = 406,184,430,276/447,618
  6. Step 6: Final answer
    x = 907,435.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.