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Finding the Third Proportional to 449,901 and 715,494

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Solution

The third proportional to 449,901 and 715,494 is: 1,137,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,901 : 715,494 = 715,494 : x
  2. Step 2: Convert to fraction form
    449,901/715,494 = 715,494/x
  3. Step 3: Cross multiply
    449,901x = 715,494 × 715,494
  4. Step 4: Simplify right side
    449,901x = 511,931,664,036
  5. Step 5: Solve for x
    x = 511,931,664,036/449,901
  6. Step 6: Final answer
    x = 1,137,876.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.