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Finding the Third Proportional to 438,878 and 655,446

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Solution

The third proportional to 438,878 and 655,446 is: 978,881.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,878 : 655,446 = 655,446 : x
  2. Step 2: Convert to fraction form
    438,878/655,446 = 655,446/x
  3. Step 3: Cross multiply
    438,878x = 655,446 × 655,446
  4. Step 4: Simplify right side
    438,878x = 429,609,458,916
  5. Step 5: Solve for x
    x = 429,609,458,916/438,878
  6. Step 6: Final answer
    x = 978,881.28

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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.