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Finding the Third Proportional to 427,878 and 665,481

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Solution

The third proportional to 427,878 and 665,481 is: 1,035,026.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,878 : 665,481 = 665,481 : x
  2. Step 2: Convert to fraction form
    427,878/665,481 = 665,481/x
  3. Step 3: Cross multiply
    427,878x = 665,481 × 665,481
  4. Step 4: Simplify right side
    427,878x = 442,864,961,361
  5. Step 5: Solve for x
    x = 442,864,961,361/427,878
  6. Step 6: Final answer
    x = 1,035,026.25

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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.