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Finding the Third Proportional to 449,870 and 679,453

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Solution

The third proportional to 449,870 and 679,453 is: 1,026,199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,870 : 679,453 = 679,453 : x
  2. Step 2: Convert to fraction form
    449,870/679,453 = 679,453/x
  3. Step 3: Cross multiply
    449,870x = 679,453 × 679,453
  4. Step 4: Simplify right side
    449,870x = 461,656,379,209
  5. Step 5: Solve for x
    x = 461,656,379,209/449,870
  6. Step 6: Final answer
    x = 1,026,199.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.