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Finding the Third Proportional to 438,888 and 655,456

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Solution

The third proportional to 438,888 and 655,456 is: 978,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,888 : 655,456 = 655,456 : x
  2. Step 2: Convert to fraction form
    438,888/655,456 = 655,456/x
  3. Step 3: Cross multiply
    438,888x = 655,456 × 655,456
  4. Step 4: Simplify right side
    438,888x = 429,622,567,936
  5. Step 5: Solve for x
    x = 429,622,567,936/438,888
  6. Step 6: Final answer
    x = 978,888.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.