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Finding the Third Proportional to 447,624 and 637,335

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Solution

The third proportional to 447,624 and 637,335 is: 907,448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,624 : 637,335 = 637,335 : x
  2. Step 2: Convert to fraction form
    447,624/637,335 = 637,335/x
  3. Step 3: Cross multiply
    447,624x = 637,335 × 637,335
  4. Step 4: Simplify right side
    447,624x = 406,195,902,225
  5. Step 5: Solve for x
    x = 406,195,902,225/447,624
  6. Step 6: Final answer
    x = 907,448.89

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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.