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Finding the Third Proportional to 427,684 and 665,340

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Solution

The third proportional to 427,684 and 665,340 is: 1,035,056.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,684 : 665,340 = 665,340 : x
  2. Step 2: Convert to fraction form
    427,684/665,340 = 665,340/x
  3. Step 3: Cross multiply
    427,684x = 665,340 × 665,340
  4. Step 4: Simplify right side
    427,684x = 442,677,315,600
  5. Step 5: Solve for x
    x = 442,677,315,600/427,684
  6. Step 6: Final answer
    x = 1,035,056.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.