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Finding the Third Proportional to 499,582 and 677,201

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Solution

The third proportional to 499,582 and 677,201 is: 917,969.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,582 : 677,201 = 677,201 : x
  2. Step 2: Convert to fraction form
    499,582/677,201 = 677,201/x
  3. Step 3: Cross multiply
    499,582x = 677,201 × 677,201
  4. Step 4: Simplify right side
    499,582x = 458,601,194,401
  5. Step 5: Solve for x
    x = 458,601,194,401/499,582
  6. Step 6: Final answer
    x = 917,969.81

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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.