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Finding the Third Proportional to 438,498 and 655,984

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Solution

The third proportional to 438,498 and 655,984 is: 981,338.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,498 : 655,984 = 655,984 : x
  2. Step 2: Convert to fraction form
    438,498/655,984 = 655,984/x
  3. Step 3: Cross multiply
    438,498x = 655,984 × 655,984
  4. Step 4: Simplify right side
    438,498x = 430,315,008,256
  5. Step 5: Solve for x
    x = 430,315,008,256/438,498
  6. Step 6: Final answer
    x = 981,338.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.