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Finding the Third Proportional to 490,457 and 665,701

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Solution

The third proportional to 490,457 and 665,701 is: 903,561.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,457 : 665,701 = 665,701 : x
  2. Step 2: Convert to fraction form
    490,457/665,701 = 665,701/x
  3. Step 3: Cross multiply
    490,457x = 665,701 × 665,701
  4. Step 4: Simplify right side
    490,457x = 443,157,821,401
  5. Step 5: Solve for x
    x = 443,157,821,401/490,457
  6. Step 6: Final answer
    x = 903,561.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.