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Finding the Third Proportional to 438,879 and 655,447.50

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Solution

The third proportional to 438,879 and 655,447.50 is: 978,883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,879 : 655,447.50 = 655,447.50 : x
  2. Step 2: Convert to fraction form
    438,879/655,447.50 = 655,447.50/x
  3. Step 3: Cross multiply
    438,879x = 655,447.50 × 655,447.50
  4. Step 4: Simplify right side
    438,879x = 429,611,425,256.25
  5. Step 5: Solve for x
    x = 429,611,425,256.25/438,879
  6. Step 6: Final answer
    x = 978,883.53

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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.