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Finding the Third Proportional to 443,704 and 665,340

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Solution

The third proportional to 443,704 and 665,340 is: 997,686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,704 : 665,340 = 665,340 : x
  2. Step 2: Convert to fraction form
    443,704/665,340 = 665,340/x
  3. Step 3: Cross multiply
    443,704x = 665,340 × 665,340
  4. Step 4: Simplify right side
    443,704x = 442,677,315,600
  5. Step 5: Solve for x
    x = 442,677,315,600/443,704
  6. Step 6: Final answer
    x = 997,686.11

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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.