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Finding the Third Proportional to 497,668 and 670,469

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Solution

The third proportional to 497,668 and 670,469 is: 903,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,668 : 670,469 = 670,469 : x
  2. Step 2: Convert to fraction form
    497,668/670,469 = 670,469/x
  3. Step 3: Cross multiply
    497,668x = 670,469 × 670,469
  4. Step 4: Simplify right side
    497,668x = 449,528,679,961
  5. Step 5: Solve for x
    x = 449,528,679,961/497,668
  6. Step 6: Final answer
    x = 903,270.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.