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Finding the Third Proportional to 435,556 and 655,868

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Solution

The third proportional to 435,556 and 655,868 is: 987,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,556 : 655,868 = 655,868 : x
  2. Step 2: Convert to fraction form
    435,556/655,868 = 655,868/x
  3. Step 3: Cross multiply
    435,556x = 655,868 × 655,868
  4. Step 4: Simplify right side
    435,556x = 430,162,833,424
  5. Step 5: Solve for x
    x = 430,162,833,424/435,556
  6. Step 6: Final answer
    x = 987,617.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.