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Finding the Third Proportional to 298,973 and 449,715

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Solution

The third proportional to 298,973 and 449,715 is: 676,461.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,973 : 449,715 = 449,715 : x
  2. Step 2: Convert to fraction form
    298,973/449,715 = 449,715/x
  3. Step 3: Cross multiply
    298,973x = 449,715 × 449,715
  4. Step 4: Simplify right side
    298,973x = 202,243,581,225
  5. Step 5: Solve for x
    x = 202,243,581,225/298,973
  6. Step 6: Final answer
    x = 676,461.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.