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Finding the Third Proportional to 448,404 and 655,361

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Solution

The third proportional to 448,404 and 655,361 is: 957,837.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,404 : 655,361 = 655,361 : x
  2. Step 2: Convert to fraction form
    448,404/655,361 = 655,361/x
  3. Step 3: Cross multiply
    448,404x = 655,361 × 655,361
  4. Step 4: Simplify right side
    448,404x = 429,498,040,321
  5. Step 5: Solve for x
    x = 429,498,040,321/448,404
  6. Step 6: Final answer
    x = 957,837.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.