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Finding the Third Proportional to 351,144 and 531,815

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Solution

The third proportional to 351,144 and 531,815 is: 805,445.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,144 : 531,815 = 531,815 : x
  2. Step 2: Convert to fraction form
    351,144/531,815 = 531,815/x
  3. Step 3: Cross multiply
    351,144x = 531,815 × 531,815
  4. Step 4: Simplify right side
    351,144x = 282,827,194,225
  5. Step 5: Solve for x
    x = 282,827,194,225/351,144
  6. Step 6: Final answer
    x = 805,445.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.