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Finding the Third Proportional to 438,504 and 655,998

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Solution

The third proportional to 438,504 and 655,998 is: 981,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,504 : 655,998 = 655,998 : x
  2. Step 2: Convert to fraction form
    438,504/655,998 = 655,998/x
  3. Step 3: Cross multiply
    438,504x = 655,998 × 655,998
  4. Step 4: Simplify right side
    438,504x = 430,333,376,004
  5. Step 5: Solve for x
    x = 430,333,376,004/438,504
  6. Step 6: Final answer
    x = 981,367.05

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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.