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Finding the Third Proportional to 343,851.75 and 531,359.25

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Solution

The third proportional to 343,851.75 and 531,359.25 is: 821,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,851.75 : 531,359.25 = 531,359.25 : x
  2. Step 2: Convert to fraction form
    343,851.75/531,359.25 = 531,359.25/x
  3. Step 3: Cross multiply
    343,851.75x = 531,359.25 × 531,359.25
  4. Step 4: Simplify right side
    343,851.75x = 282,342,652,560.56
  5. Step 5: Solve for x
    x = 282,342,652,560.56/343,851.75
  6. Step 6: Final answer
    x = 821,117.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.