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Finding the Third Proportional to 457,288 and 679,299

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Solution

The third proportional to 457,288 and 679,299 is: 1,009,095.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,288 : 679,299 = 679,299 : x
  2. Step 2: Convert to fraction form
    457,288/679,299 = 679,299/x
  3. Step 3: Cross multiply
    457,288x = 679,299 × 679,299
  4. Step 4: Simplify right side
    457,288x = 461,447,131,401
  5. Step 5: Solve for x
    x = 461,447,131,401/457,288
  6. Step 6: Final answer
    x = 1,009,095.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.