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Finding the Third Proportional to 448,398 and 655,353

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Solution

The third proportional to 448,398 and 655,353 is: 957,826.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,398 : 655,353 = 655,353 : x
  2. Step 2: Convert to fraction form
    448,398/655,353 = 655,353/x
  3. Step 3: Cross multiply
    448,398x = 655,353 × 655,353
  4. Step 4: Simplify right side
    448,398x = 429,487,554,609
  5. Step 5: Solve for x
    x = 429,487,554,609/448,398
  6. Step 6: Final answer
    x = 957,826.65

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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.