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Finding the Third Proportional to 655,367 and 885,440

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Solution

The third proportional to 655,367 and 885,440 is: 1,196,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,367 : 885,440 = 885,440 : x
  2. Step 2: Convert to fraction form
    655,367/885,440 = 885,440/x
  3. Step 3: Cross multiply
    655,367x = 885,440 × 885,440
  4. Step 4: Simplify right side
    655,367x = 784,003,993,600
  5. Step 5: Solve for x
    x = 784,003,993,600/655,367
  6. Step 6: Final answer
    x = 1,196,282.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.